Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Nonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theory. (English. Russian original) Zbl 07781666 Proc. Steklov Inst. Math. 322, 105-117 (2023); translation from Tr. Mat. Inst. Steklova 322, 111-123 (2023). MSC: 76B15 76M45 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Proc. Steklov Inst. Math. 322, 105--117 (2023; Zbl 07781666); translation from Tr. Mat. Inst. Steklova 322, 111--123 (2023) Full Text: DOI
Chernyshev, V. L.; Nazaikinskii, V. E.; Tsvetkova, A. V. Lattice equations and semiclassical asymptotics. (English) Zbl 1528.81142 Russ. J. Math. Phys. 30, No. 2, 152-164 (2023). MSC: 81Q20 58J37 81R30 14M17 05C05 81Q30 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Russ. J. Math. Phys. 30, No. 2, 152--164 (2023; Zbl 1528.81142) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Uniformization and semiclassical asymptotics for a class of equations degenerating on the boundary of a manifold. (English. Russian original) Zbl 1512.35066 J. Math. Sci., New York 270, No. 4, 507-530 (2023); translation from Probl. Mat. Anal. 122, 5-24 (2023). MSC: 35B40 53D12 76B15 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., J. Math. Sci., New York 270, No. 4, 507--530 (2023; Zbl 1512.35066); translation from Probl. Mat. Anal. 122, 5--24 (2023) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M. Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides. (English. Russian original) Zbl 1519.35061 Theor. Math. Phys. 214, No. 1, 1-23 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 3-29 (2023). MSC: 35C20 35S05 53D12 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 214, No. 1, 1--23 (2023; Zbl 1519.35061); translation from Teor. Mat. Fiz. 214, No. 1, 3--29 (2023) Full Text: DOI
Nazaikinskii, V. E.; Savin, A. Yu. On semiclassical asymptotics for nonlocal equations. (English) Zbl 1512.35412 Russ. J. Math. Phys. 29, No. 4, 568-575 (2022). MSC: 35P05 53D12 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. Yu. Savin}, Russ. J. Math. Phys. 29, No. 4, 568--575 (2022; Zbl 1512.35412) Full Text: DOI
Nazaikinskii, V. E.; Tolchennikov, A. A. Constructive implementation of semiclassical asymptotic formulas in a neighborhood of a generic caustic cusp. (English) Zbl 1514.53119 Russ. J. Math. Phys. 29, No. 4, 558-567 (2022). MSC: 53D12 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. A. Tolchennikov}, Russ. J. Math. Phys. 29, No. 4, 558--567 (2022; Zbl 1514.53119) Full Text: DOI
Nazaikinskii, V. E. On an elliptic operator degenerating on the boundary. (English. Russian original) Zbl 1525.47076 Funct. Anal. Appl. 56, No. 4, 324-326 (2022); translation from Funkts. Anal. Prilozh. 56, No 4, 109-112 (2022). MSC: 47F10 35L05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Funct. Anal. Appl. 56, No. 4, 324--326 (2022; Zbl 1525.47076); translation from Funkts. Anal. Prilozh. 56, No 4, 109--112 (2022) Full Text: DOI
Chernyshev, V. L.; Hilberdink, T. W.; Minenkov, D. S.; Nazaikinskii, V. E. Restricted partitions: the polynomial case. (English. Russian original) Zbl 1520.11085 Funct. Anal. Appl. 56, No. 4, 299-309 (2022); translation from Funkts. Anal. Prilozh. 56, No 4, 80-92 (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11B75 05C80 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Funct. Anal. Appl. 56, No. 4, 299--309 (2022; Zbl 1520.11085); translation from Funkts. Anal. Prilozh. 56, No 4, 80--92 (2022) Full Text: DOI
Nazaikinskii, V. E. Canonical operator on punctured Lagrangian manifolds and commutation with pseudodifferential operators: local theory. (English. Russian original) Zbl 1505.35378 Math. Notes 112, No. 5, 709-725 (2022); translation from Mat. Zametki 112, No. 5, 733-751 (2022). MSC: 35S05 53D12 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 112, No. 5, 709--725 (2022; Zbl 1505.35378); translation from Mat. Zametki 112, No. 5, 733--751 (2022) Full Text: DOI
Baldare, A.; Nazaikinskii, V. E.; Savin, A. Yu.; Schrohe, E. \(C^*\)-algebras of transmission problems and elliptic boundary value problems with shift operators. (English. Russian original) Zbl 1493.58009 Math. Notes 111, No. 5, 701-721 (2022); translation from Mat. Zametki 111, No. 5, 692-716 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J32 47L80 35S05 47G30 35J99 PDFBibTeX XMLCite \textit{A. Baldare} et al., Math. Notes 111, No. 5, 701--721 (2022; Zbl 1493.58009); translation from Mat. Zametki 111, No. 5, 692--716 (2022) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E. Asymptotic solutions of the Cauchy problem for the nonlinear shallow water equations in a basin with a gently sloping beach. (English) Zbl 1490.76035 Russ. J. Math. Phys. 29, No. 1, 28-36 (2022). MSC: 76B15 35Q35 35B40 76M45 35B27 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 29, No. 1, 28--36 (2022; Zbl 1490.76035) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves. (English. Russian original) Zbl 1485.35307 St. Petersbg. Math. J. 33, No. 2, 185-205 (2022); translation from Algebra Anal. 33, No. 2, 5-34 (2021). MSC: 35P20 35B40 35J25 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., St. Petersbg. Math. J. 33, No. 2, 185--205 (2022; Zbl 1485.35307); translation from Algebra Anal. 33, No. 2, 5--34 (2021) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Homogenization of the Cauchy problem for the wave equation with rapidly varying coefficients and initial conditions. (English) Zbl 1501.35031 Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 77-102 (2021). MSC: 35B27 35L05 35L15 81Q20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, in: Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6--9, 2018. Cham: Birkhäuser. 77--102 (2021; Zbl 1501.35031) Full Text: DOI
Dobrokhotov, Sergey Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations. (English. Russian original) Zbl 1492.81056 Russ. Math. Surv. 76, No. 5, 745-819 (2021); translation from Usp. Mat. Nauk 76, No. 5, 3-80 (2021). MSC: 81Q20 35L15 35L45 35S10 53D12 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. Math. Surv. 76, No. 5, 745--819 (2021; Zbl 1492.81056); translation from Usp. Mat. Nauk 76, No. 5, 3--80 (2021) Full Text: DOI
Manuilov, Vladimir M. (ed.); Mishchenko, Alexander S. (ed.); Nazaikinskii, Vladimir E. (ed.); Schulze, Bert-Wolfgang (ed.); Zhang, Weiping (ed.) Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. (English) Zbl 1478.35002 Trends in Mathematics. Cham: Birkhäuser (ISBN 978-3-030-37325-2/hbk; 978-3-030-37326-9/ebook). x, 338 p. (2021). MSC: 35-06 58-06 00B25 00B30 PDFBibTeX XMLCite \textit{V. M. Manuilov} (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6--9, 2018. Cham: Birkhäuser (2021; Zbl 1478.35002) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E. Representation of Bessel functions by the Maslov canonical operator. (English. Russian original) Zbl 1471.81033 Theor. Math. Phys. 208, No. 2, 1018-1037 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 196-217 (2021). MSC: 81Q20 81S08 33C10 35B40 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 208, No. 2, 1018--1037 (2021; Zbl 1471.81033); translation from Teor. Mat. Fiz. 208, No. 2, 196--217 (2021) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Schafarevich, A. I. Canonical operator on punctured Lagrangian manifolds. (English) Zbl 1462.35480 Russ. J. Math. Phys. 28, No. 1, 22-36 (2021). MSC: 35S05 35Q35 53D12 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 28, No. 1, 22--36 (2021; Zbl 1462.35480) Full Text: DOI
Dobrokhotov, Sergei; Nazaikinskii, Vladimir Fock quantization of canonical transformations and semiclassical asymptotics for degenerate problems. (English) Zbl 1472.81099 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 187-195 (2020). MSC: 81Q20 35L80 81S10 53D12 53D22 PDFBibTeX XMLCite \textit{S. Dobrokhotov} and \textit{V. Nazaikinskii}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 187--195 (2020; Zbl 1472.81099) Full Text: DOI
Chernyshev, V. L.; Hilberdink, T. W.; Nazaikinskii, V. E. Asymptotics of the number of restricted partitions. (English) Zbl 1469.11387 Russ. J. Math. Phys. 27, No. 4, 456-468 (2020). MSC: 11N45 11P81 05A17 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Russ. J. Math. Phys. 27, No. 4, 456--468 (2020; Zbl 1469.11387) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. (English. Russian original) Zbl 1483.53094 Math. Notes 108, No. 3, 318-338 (2020); translation from Mat. Zametki 108, No. 3, 334-359 (2020). MSC: 53D12 41A60 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 108, No. 3, 318--338 (2020; Zbl 1483.53094); translation from Mat. Zametki 108, No. 3, 334--359 (2020) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. (English. Russian original) Zbl 1450.35119 Comput. Math. Math. Phys. 60, No. 8, 1348-1360 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394-1407 (2020). MSC: 35G10 35Q35 35Q41 35Q61 81Q20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Comput. Math. Math. Phys. 60, No. 8, 1348--1360 (2020; Zbl 1450.35119); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1394--1407 (2020) Full Text: DOI
Nazaikinskii, Vladimir E.; Bedrikovetsky, Pavel G.; Kuzmina, Liudmila I.; Osipov, Yuri V. Exact solution for deep bed filtration with finite blocking time. (English) Zbl 1486.76079 SIAM J. Appl. Math. 80, No. 5, 2120-2143 (2020). MSC: 76S05 76T20 35Q35 65M25 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., SIAM J. Appl. Math. 80, No. 5, 2120--2143 (2020; Zbl 1486.76079) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics. (English. Russian original) Zbl 1455.76019 Math. Notes 107, No. 5, 847-853 (2020); translation from Mat. Zametki 107, No. 5, 780-786 (2020). MSC: 76B15 76M45 35Q35 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 107, No. 5, 847--853 (2020; Zbl 1455.76019); translation from Mat. Zametki 107, No. 5, 780--786 (2020) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. (English) Zbl 1448.35391 Russ. J. Math. Phys. 27, No. 2, 185-191 (2020). MSC: 35Q35 35S10 76B15 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 27, No. 2, 185--191 (2020; Zbl 1448.35391) Full Text: DOI
Katsnelson, Mikhail I.; Nazaikinskii, Vladimir Partial spectral flow and the Aharonov-Bohm effect in graphene. arXiv:2007.14150 Preprint, arXiv:2007.14150 [math-ph] (2020). BibTeX Cite \textit{M. I. Katsnelson} and \textit{V. Nazaikinskii}, ``Partial spectral flow and the Aharonov-Bohm effect in graphene'', Preprint, arXiv:2007.14150 [math-ph] (2020) Full Text: DOI arXiv OA License
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. (English. Russian original) Zbl 1441.81091 Theor. Math. Phys. 201, No. 3, 1742-1770 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 382-414 (2019). MSC: 81Q10 81Q20 33C10 34L40 34E10 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 201, No. 3, 1742--1770 (2019; Zbl 1441.81091); translation from Teor. Mat. Fiz. 201, No. 3, 382--414 (2019) Full Text: DOI
Nazaikinskii, V. E.; Savin, A. Yu.; Sipailo, P. A. Sobolev problems with spherical mean conditions and traces of quantized canonical transformations. (English) Zbl 1471.58031 Russ. J. Math. Phys. 26, No. 4, 483-498 (2019). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J40 35J25 35R01 35S15 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Russ. J. Math. Phys. 26, No. 4, 483--498 (2019; Zbl 1471.58031) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\). (English. Russian original) Zbl 1452.34085 Proc. Steklov Inst. Math. 306, 74-89 (2019); translation from Tr. Mat. Inst. Steklova 306, 83-99 (2019). Reviewer: Fatma Hıra (Atakum) MSC: 34L10 34L15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Proc. Steklov Inst. Math. 306, 74--89 (2019; Zbl 1452.34085); translation from Tr. Mat. Inst. Steklova 306, 83--99 (2019) Full Text: DOI
Nazaikinskii, V. E.; Shafarevich, A. I. Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1432.35025 Math. Notes 106, No. 3, 402-411 (2019); translation from Mat. Zametki 106, No. 3, 424-435 (2019). MSC: 35B40 58J40 53D12 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. I. Shafarevich}, Math. Notes 106, No. 3, 402--411 (2019; Zbl 1432.35025); translation from Mat. Zametki 106, No. 3, 424--435 (2019) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. (English. Russian original) Zbl 1426.37049 Math. Notes 105, No. 5, 789-794 (2019); translation from Mat. Zametki 105, No. 5, 792-797 (2019). MSC: 37J35 37J10 34L10 34L20 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Math. Notes 105, No. 5, 789--794 (2019; Zbl 1426.37049); translation from Mat. Zametki 105, No. 5, 792--797 (2019) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. Asymptotic eigenfunctions of the operator \(\nabla D(x)\nabla\) defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls. (English. Russian original) Zbl 1418.37094 Differ. Equ. 55, No. 5, 644-657 (2019); translation from Differ. Uravn. 55, No. 5, 660-672 (2019). MSC: 37J35 37J05 37D50 53D12 53D25 35P05 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Differ. Equ. 55, No. 5, 644--657 (2019; Zbl 1418.37094); translation from Differ. Uravn. 55, No. 5, 660--672 (2019) Full Text: DOI
Kuzmina, L. I.; Nazaikinskii, V. E.; Osipov, Yu. V. On a deep bed filtration problem with finite blocking time. (English) Zbl 1418.35261 Russ. J. Math. Phys. 26, No. 1, 130-134 (2019). MSC: 35L60 35L50 35A02 PDFBibTeX XMLCite \textit{L. I. Kuzmina} et al., Russ. J. Math. Phys. 26, No. 1, 130--134 (2019; Zbl 1418.35261) Full Text: DOI
Anikin, Anatoly; Dobrokhotov, Sergey; Nazaikinskii, Vladimir Asymptotic solutions of the wave equation with degenerate velocity and with right-hand side localized in space and time. (English) Zbl 1428.35191 J. Math. Phys. Anal. Geom. 14, No. 4, 393-405 (2018). MSC: 35L15 35L05 PDFBibTeX XMLCite \textit{A. Anikin} et al., J. Math. Phys. Anal. Geom. 14, No. 4, 393--405 (2018; Zbl 1428.35191) Full Text: DOI Link
Chernyshev, V. L.; Minenkov, D. S.; Nazaikinskii, V. E. Typical shape of elements in an arithmetical semigroup with exponentially growing prime counting function and deviations from the Bose-Einstein distribution. (English) Zbl 1439.11260 Math. Notes 104, No. 6, 939-942 (2018). MSC: 11N45 11N80 PDFBibTeX XMLCite \textit{V. L. Chernyshev} et al., Math. Notes 104, No. 6, 939--942 (2018; Zbl 1439.11260) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. (English. Russian original) Zbl 1420.35151 Math. Notes 104, No. 4, 471-488 (2018); translation from Mat. Zametki 104, No. 4, 483-504 (2018). MSC: 35L20 35B40 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Math. Notes 104, No. 4, 471--488 (2018; Zbl 1420.35151); translation from Mat. Zametki 104, No. 4, 483--504 (2018) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Efficient formulas for the Maslov canonical operator near a simple caustic. (English) Zbl 1406.81036 Russ. J. Math. Phys. 25, No. 4, 545-552 (2018). MSC: 81Q20 53D12 34L40 70H15 81-08 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 25, No. 4, 545--552 (2018; Zbl 1406.81036) Full Text: DOI
Karaeva, D. A.; Karaev, A. D.; Nazaikinskii, V. E. Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom. (English. Russian original) Zbl 1418.76043 Differ. Equ. 54, No. 8, 1057-1072 (2018); translation from Differ. Uravn. 54, No. 8, 1075-1089 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 76M50 76B15 76M45 PDFBibTeX XMLCite \textit{D. A. Karaeva} et al., Differ. Equ. 54, No. 8, 1057--1072 (2018; Zbl 1418.76043); translation from Differ. Uravn. 54, No. 8, 1075--1089 (2018) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, Anna V. One approach to the computation of asymptotics of integrals of rapidly varying functions. (English. Russian original) Zbl 1397.42004 Math. Notes 103, No. 5, 713-723 (2018); translation from Mat. Zametki 103, No. 5, 680-692 (2018). MSC: 42B20 41A60 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Math. Notes 103, No. 5, 713--723 (2018; Zbl 1397.42004); translation from Mat. Zametki 103, No. 5, 680--692 (2018) Full Text: DOI
Nazaikinskii, V. E.; Shafarevich, A. I. Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. (English. Russian original) Zbl 1407.35028 Dokl. Math. 97, No. 2, 177-180 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 611-615 (2018). MSC: 35B40 53D20 47F05 53D12 35A18 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{A. I. Shafarevich}, Dokl. Math. 97, No. 2, 177--180 (2018; Zbl 1407.35028); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 479, No. 6, 611--615 (2018) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Waves on the free surface described by linearized equations of hydrodynamics with localized right-hand sides. (English) Zbl 1388.76028 Russ. J. Math. Phys. 25, No. 1, 1-16 (2018). MSC: 76B07 76B15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 25, No. 1, 1--16 (2018; Zbl 1388.76028) Full Text: DOI
Anikin, Anatoly; Dobrokhotov, Sergey; Nazaikinskii, Vladimir; Rouleux, Michel Semi-classical Green functions. arXiv:1808.00047 Preprint, arXiv:1808.00047 [math-ph] (2018). BibTeX Cite \textit{A. Anikin} et al., ``Semi-classical Green functions'', Preprint, arXiv:1808.00047 [math-ph] (2018) Full Text: arXiv OA License
Lozhnikov, D. A.; Nazaĭkinskiĭ, V. E. Method for the analysis of long water waves taking into account reflection from a gently sloping beach. (English. Russian original) Zbl 1440.76014 J. Appl. Math. Mech. 81, No. 1, 21-28 (2017); translation from Prikl. Mat. Mekh. 81, No. 1, 33-44 (2017). MSC: 76B15 76-04 PDFBibTeX XMLCite \textit{D. A. Lozhnikov} and \textit{V. E. Nazaĭkinskiĭ}, J. Appl. Math. Mech. 81, No. 1, 21--28 (2017; Zbl 1440.76014); translation from Prikl. Mat. Mekh. 81, No. 1, 33--44 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. On the asymptotics of a Bessel-type integral having applications in wave run-up theory. (English. Russian original) Zbl 1384.42001 Math. Notes 102, No. 6, 756-762 (2017); translation from Mat. Zametki 102, No. 6, 828-835 (2017). MSC: 42A38 35L05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 102, No. 6, 756--762 (2017; Zbl 1384.42001); translation from Mat. Zametki 102, No. 6, 828--835 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. (English) Zbl 1432.76203 Russ. J. Math. Phys. 24, No. 4, 544-552 (2017). MSC: 76M35 76B15 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 24, No. 4, 544--552 (2017; Zbl 1432.76203) Full Text: DOI
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M. The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides. (English. Russian original) Zbl 1377.35062 Dokl. Math. 96, No. 1, 406-410 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 624-628 (2016). MSC: 35J05 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Dokl. Math. 96, No. 1, 406--410 (2017; Zbl 1377.35062); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 6, 624--628 (2016) Full Text: DOI
Minenkov, D. S.; Nazaikinskii, V. E.; Chernyshev, V. L. On the limit shape of elements of an arithmetic semigroup with an exponentially growing counting function of basis elements. (English. Russian original) Zbl 1430.11136 Dokl. Math. 95, No. 3, 226-229 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 3, 277-280 (2017). MSC: 11N45 60F10 PDFBibTeX XMLCite \textit{D. S. Minenkov} et al., Dokl. Math. 95, No. 3, 226--229 (2017; Zbl 1430.11136); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 3, 277--280 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions. (English. Russian original) Zbl 1516.35040 Math. Notes 101, No. 6, 1053-1060 (2017); translation from Mat. Zametki 101, No. 6, 936-942 (2017). MSC: 35B25 35C20 35Q35 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 101, No. 6, 1053--1060 (2017; Zbl 1516.35040); translation from Mat. Zametki 101, No. 6, 936--942 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. (English. Russian original) Zbl 1372.35180 Math. Notes 101, No. 5, 802-814 (2017); translation from Mat. Zametki 101, No. 5, 700-715 (2017). MSC: 35L20 76E20 86A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Math. Notes 101, No. 5, 802--814 (2017; Zbl 1372.35180); translation from Mat. Zametki 101, No. 5, 700--715 (2017) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds. (English) Zbl 1376.37114 Russ. J. Math. Phys. 24, No. 1, 127-133 (2017). MSC: 37K60 53D12 35S10 39A12 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 24, No. 1, 127--133 (2017; Zbl 1376.37114) Full Text: DOI
Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. New integral representations of the Maslov canonical operator in singular charts. (English. Russian original) Zbl 1369.81033 Izv. Math. 81, No. 2, 286-328 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 53-96 (2017). MSC: 81Q20 53D12 35C20 35S30 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Izv. Math. 81, No. 2, 286--328 (2017; Zbl 1369.81033); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 53--96 (2017) Full Text: DOI
Anikin, Anatoly; Dobrokhotov, Serguei; Nazaikinskii, Vladimir; Rouleux, Michel Asymptotics of Green function for the linear waves equations in a domain with a non-uniform bottom. arXiv:1708.01107 Preprint, arXiv:1708.01107 [math-ph] (2017). BibTeX Cite \textit{A. Anikin} et al., ``Asymptotics of Green function for the linear waves equations in a domain with a non-uniform bottom'', Preprint, arXiv:1708.01107 [math-ph] (2017) Full Text: arXiv OA License
Minenkov, D. S.; Nazaikinskiĭ, V. E.; Chernyshev, V. L. On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators. (English. Russian original) Zbl 1366.11105 Funct. Anal. Appl. 50, No. 4, 291-307 (2016); translation from Funkts. Anal. Prilozh. 50, No. 4, 55-75 (2016). MSC: 11N45 11N80 PDFBibTeX XMLCite \textit{D. S. Minenkov} et al., Funct. Anal. Appl. 50, No. 4, 291--307 (2016; Zbl 1366.11105); translation from Funkts. Anal. Prilozh. 50, No. 4, 55--75 (2016) Full Text: DOI
Maslov, V. P.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Volume and entropy in abstract analytic number theory and thermodynamics. (English. Russian original) Zbl 1362.82025 Math. Notes 100, No. 6, 828-834 (2016); translation from Mat. Zametki 100, No. 6, 855-867 (2016). MSC: 82B30 82D05 11N80 PDFBibTeX XMLCite \textit{V. P. Maslov} et al., Math. Notes 100, No. 6, 828--834 (2016; Zbl 1362.82025); translation from Mat. Zametki 100, No. 6, 855--867 (2016) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E. Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. (English. Russian original) Zbl 1362.35170 Math. Notes 100, No. 5, 695-713 (2016); translation from Mat. Zametki 100, No. 5, 710-731 (2016). MSC: 35L20 35L80 35B40 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 5, 695--713 (2016; Zbl 1362.35170); translation from Mat. Zametki 100, No. 5, 710--731 (2016) Full Text: DOI
Minenkov, D. S.; Nazaikinskiĭ, V. E. Remark on the inverse abstract prime number theorem. (English. Russian original) Zbl 1354.11062 Math. Notes 100, No. 4, 633-635 (2016); translation from Mat. Zametki 100, No. 4, 627-629 (2016). MSC: 11N37 11N80 PDFBibTeX XMLCite \textit{D. S. Minenkov} and \textit{V. E. Nazaikinskiĭ}, Math. Notes 100, No. 4, 633--635 (2016; Zbl 1354.11062); translation from Mat. Zametki 100, No. 4, 627--629 (2016) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds. (English) Zbl 1357.82068 Math. Notes 100, No. 3, 421-428 (2016). MSC: 82D05 11N80 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 3, 421--428 (2016; Zbl 1357.82068) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom. (English) Zbl 1357.82067 Math. Notes 100, No. 2, 245-255 (2016). MSC: 82D05 11N05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 100, No. 2, 245--255 (2016; Zbl 1357.82067) Full Text: DOI
Minenkov, D. S.; Nazaĭkinskiĭ, V. E.; Chernyshev, V. L. On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. (English. Russian original) Zbl 1357.11095 Dokl. Math. 93, No. 3, 326-328 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 618-621 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 11N80 11P70 11P82 11B75 81Q35 82C20 PDFBibTeX XMLCite \textit{D. S. Minenkov} et al., Dokl. Math. 93, No. 3, 326--328 (2016; Zbl 1357.11095); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 618--621 (2016) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Remark on the notion of optimal data compression in information theory. (English) Zbl 1386.68058 Math. Notes 99, No. 4, 616-618 (2016). MSC: 68P30 94A17 94A29 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 4, 616--618 (2016; Zbl 1386.68058) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. Disinformation theory for bosonic computational media. (English) Zbl 1349.82022 Math. Notes 99, No. 6, 895-900 (2016). MSC: 82B30 81P45 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 6, 895--900 (2016; Zbl 1349.82022) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. (English. Russian original) Zbl 1345.53083 Dokl. Math. 93, No. 1, 99-102 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 6, 641-644 (2016). Reviewer: Sönke Hansen (Paderborn) MSC: 53D12 81Q20 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Dokl. Math. 93, No. 1, 99--102 (2016; Zbl 1345.53083); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 6, 641--644 (2016) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the rate of convergence to the Bose-Einstein distribution. (English) Zbl 1338.82051 Math. Notes 99, No. 1, 95-109 (2016). MSC: 82D05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 99, No. 1, 95--109 (2016; Zbl 1338.82051) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E.; Tirozzi, B. Simple exact and asymptotic solutions of the 1D run-up problem over a slowly varying (quasiplanar) bottom. (English) Zbl 1329.35246 Agliari, Elena (ed.) et al., Theory and applications in mathematical physics. Conference in honor of B. Tirozzi’s 70th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4713-27-6/hbk; 978-981-4713-29-0/ebook). 29-47 (2016). MSC: 35Q35 76B15 76M45 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., in: Theory and applications in mathematical physics. Conference in honor of B. Tirozzi's 70th birthday. Hackensack, NJ: World Scientific. 29--47 (2016; Zbl 1329.35246) Full Text: DOI
Polyanin, Andrei D.; Nazaikinskii, Vladimir E. Handbook of linear partial differential equations for engineers and scientists. 2nd edition. (English) Zbl 1329.35001 Boca Raton, FL: CRC Press (ISBN 978-1-4665-8145-6/hbk; 978-1-4665-8149-4/ebook). xxxiv, 1609 p. (2016). MSC: 35-00 00A06 35-01 PDFBibTeX XMLCite \textit{A. D. Polyanin} and \textit{V. E. Nazaikinskii}, Handbook of linear partial differential equations for engineers and scientists. 2nd edition. Boca Raton, FL: CRC Press (2016; Zbl 1329.35001) Full Text: DOI
Chernyshev, V. L.; Minenkov, D. S.; Nazaikinskii, V. E. Asymptotics of the counting function of \(k\)-th power-free elements in an arithmetic semigroup. arXiv:1604.03509 Preprint, arXiv:1604.03509 [math.NT] (2016). MSC: 11N80 60C05 82B30 BibTeX Cite \textit{V. L. Chernyshev} et al., ``Asymptotics of the counting function of $k$-th power-free elements in an arithmetic semigroup'', Preprint, arXiv:1604.03509 [math.NT] (2016) Full Text: arXiv OA License
Nazaikinskii, V. E. Relative index theorem in \(K\)-homology. (English. Russian original) Zbl 1337.46048 Funct. Anal. Appl. 49, No. 4, 311-314 (2015); translation from Funkts. Anal. Prilozh. 49, No. 4, 85-90 (2015). Reviewer: Igor V. Nikolaev (Sherbrooke) MSC: 46L85 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Funct. Anal. Appl. 49, No. 4, 311--314 (2015; Zbl 1337.46048); translation from Funkts. Anal. Prilozh. 49, No. 4, 85--90 (2015) Full Text: DOI arXiv
Nazaikinskii, V. E. On a \(KK\)-theoretic counterpart of relative index theorems. (English) Zbl 1327.58026 Russ. J. Math. Phys. 22, No. 3, 374-378 (2015). MSC: 58J22 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 22, No. 3, 374--378 (2015; Zbl 1327.58026) Full Text: DOI arXiv
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. On a homogenization method for differential operators with oscillating coefficients. (English. Russian original) Zbl 1326.35022 Dokl. Math. 91, No. 2, 227-231 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 516-520 (2015). MSC: 35B27 35L15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Dokl. Math. 91, No. 2, 227--231 (2015; Zbl 1326.35022); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 516--520 (2015) Full Text: DOI
Dobrokhotov, S. Yu.; Makrakis, G.; Nazaikinskii, V. E. Fourier integrals and a new representation of Maslov’s canonical operator near caustics. (English) Zbl 1320.81058 Khruslov, E. (ed.) et al., Spectral theory and differential equations: V. A. Marchenko’s 90th anniversary collection. Providence, RI: American Mathematical Society (AMS); (ISBN 978-1-4704-1683-6/hbk). Translations. Series 2. American Mathematical Society 233; Advances in the Mathematical Sciences 66, 95-115 (2014). MSC: 81Q20 35S30 53D12 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Transl., Ser. 2, Am. Math. Soc. 233, 95--115 (2014; Zbl 1320.81058) Full Text: arXiv
Nazaikinskii, V. E. Maslov’s canonical operator for degenerate hyperbolic equations. (English) Zbl 1316.35207 Russ. J. Math. Phys. 21, No. 2, 289-290 (2014). MSC: 35L80 35L20 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 21, No. 2, 289--290 (2014; Zbl 1316.35207) Full Text: DOI
Nazaikinskii, V. E. The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary. (English. Russian original) Zbl 1330.53108 Math. Notes 96, No. 2, 248-260 (2014); translation from Mat. Zametki 96, No. 2, 261-276 (2014). Reviewer: Chengbo Wang (Hangzhou) MSC: 53D12 35L05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 96, No. 2, 248--260 (2014; Zbl 1330.53108); translation from Mat. Zametki 96, No. 2, 261--276 (2014) Full Text: DOI
Nazaikinskii, V. E. On the representation of localized functions in \(\mathbb R^2\) by the Maslov canonical operator. (English. Russian original) Zbl 1320.53100 Math. Notes 96, No. 1, 99-109 (2014); translation from Mat. Zametki 96, No. 1, 88-100 (2014). MSC: 53D12 35L05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 96, No. 1, 99--109 (2014; Zbl 1320.53100); translation from Mat. Zametki 96, No. 1, 88--100 (2014) Full Text: DOI
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E. Maslov’s canonical operator, Hörmander’s formula, and localization of the Berry-Balazs solution in the theory of wave beams. (English. Russian original) Zbl 1323.81031 Theor. Math. Phys. 180, No. 2, 894-916 (2014); translation from Teor. Mat. Fiz. 180, No. 2, 162-188 (2014). MSC: 81Q05 35C05 35Q41 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 180, No. 2, 894--916 (2014; Zbl 1323.81031); translation from Teor. Mat. Fiz. 180, No. 2, 162--188 (2014) Full Text: DOI
Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris The localization problem in index theory of elliptic operators. (English) Zbl 1297.58001 Pseudo-Differential Operators. Theory and Applications 10. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0509-4/pbk; 978-3-0348-0510-0/ebook). viii, 117 p. (2014). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 58-02 46L80 58J22 PDFBibTeX XMLCite \textit{V. Nazaikinskii} et al., The localization problem in index theory of elliptic operators. Basel: Birkhäuser/Springer (2014; Zbl 1297.58001) Full Text: DOI Link
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data. (English) Zbl 1320.35180 Russ. J. Math. Phys. 20, No. 4, 389-401 (2013). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35L05 76B15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 20, No. 4, 389--401 (2013; Zbl 1320.35180) Full Text: DOI
Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.; Tudorovskii, T. Ya. New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. (English. Russian original) Zbl 1298.81091 Theor. Math. Phys. 177, No. 3, 1579-1605 (2013); translation from Teor. Mat. Fiz. 177, No. 3, 355-386 (2013). MSC: 81Q20 81Q05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 177, No. 3, 1579--1605 (2013; Zbl 1298.81091); translation from Teor. Mat. Fiz. 177, No. 3, 355--386 (2013) Full Text: DOI arXiv
Dobrokhotov, S. Yu.; Lozhnikov, D. A.; Nazaikinskii, V. E. Wave trains associated with a cascade of bifurcations of space-time caustics over elongated underwater banks. (English) Zbl 1338.35390 Math. Model. Nat. Phenom. 8, No. 5, 1-12 (2013). MSC: 35Q53 76B15 35A18 35B40 37G10 74J05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Math. Model. Nat. Phenom. 8, No. 5, 1--12 (2013; Zbl 1338.35390) Full Text: DOI
Nazaikinskii, V. E. On the entropy of a Bose-Maslov gas. (English. Russian original) Zbl 1269.82061 Dokl. Math. 87, No. 1, 50-52 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 3, 266-268 (2013). MSC: 82D05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Dokl. Math. 87, No. 1, 50--52 (2013; Zbl 1269.82061); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 448, No. 3, 266--268 (2013) Full Text: DOI
Dobrokhotov, Sergey; Minenkov, Dmitrii; Nazaikinskii, Vladimir; Tirozzi, Brunello Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side. (English) Zbl 1263.35154 Karlovich, Yuri I. (ed.) et al., Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Dedicated to his 70th birthday. Basel: Birkhäuser (ISBN 978-3-0348-0536-0/hbk; 978-3-0348-0537-7/ebook). Operator Theory: Advances and Applications 228, 95-125 (2013). MSC: 35L15 35L05 81Q20 35Q35 PDFBibTeX XMLCite \textit{S. Dobrokhotov} et al., Oper. Theory: Adv. Appl. 228, 95--125 (2013; Zbl 1263.35154) Full Text: DOI arXiv
Nazaikinskii, V. E. On the asymptotics of the number of states for the Bose-Maslov gas. (English) Zbl 1285.82048 Math. Notes 91, No. 6, 816-823 (2012). MSC: 82D05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 91, No. 6, 816--823 (2012; Zbl 1285.82048) Full Text: DOI
Katsnelson, M. I.; Nazaikinskii, V. E. The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. (English. Russian original) Zbl 1282.82064 Theor. Math. Phys. 172, No. 3, 1263-1277 (2012); translation from Teor. Mat. Fiz. 172, No. 3, 437-453 (2012). MSC: 82D80 81Q05 37B30 PDFBibTeX XMLCite \textit{M. I. Katsnelson} and \textit{V. E. Nazaikinskii}, Theor. Math. Phys. 172, No. 3, 1263--1277 (2012; Zbl 1282.82064); translation from Teor. Mat. Fiz. 172, No. 3, 437--453 (2012) Full Text: DOI arXiv Link
Nazaikinskii, V. E. Phase space geometry for a wave equation degenerating on the boundary of the domain. (English. Russian original) Zbl 1308.58017 Math. Notes 92, No. 1, 144-148 (2012); translation from Mat. Zametki 92, No. 1, 153-156 (2012). MSC: 58J45 35C20 37C80 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 92, No. 1, 144--148 (2012; Zbl 1308.58017); translation from Mat. Zametki 92, No. 1, 153--156 (2012) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaĭkinskiĭ, V. E.; Tirozzi, B. Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data. (English. Russian original) Zbl 1230.35057 St. Petersbg. Math. J. 22, No. 6, 895-911 (2011); translation from Algebra Anal. 22, No. 6, 67-90 (2010). MSC: 35L15 35C20 78A05 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., St. Petersbg. Math. J. 22, No. 6, 895--911 (2011; Zbl 1230.35057); translation from Algebra Anal. 22, No. 6, 67--90 (2010) Full Text: DOI
Nazaikinskii, V. E. Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions. (English. Russian original) Zbl 1234.35149 Math. Notes 89, No. 5, 749-753 (2011); translation from Mat. Zametki 89, No. 5, 797-800 (2011). MSC: 35L80 35L15 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Math. Notes 89, No. 5, 749--753 (2011; Zbl 1234.35149); translation from Mat. Zametki 89, No. 5, 797--800 (2011) Full Text: DOI
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the Poincaré isomorphism in \(K\)-theory on manifolds with edges. (English. Russian original) Zbl 1305.19003 J. Math. Sci., New York 170, No. 2, 238-250 (2010); translation from Sovrem. Mat., Fundam. Napravl. 34, 109-120 (2009). Reviewer: Boris Goldfarb (Albany) MSC: 19K56 58J20 19K33 58J32 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., J. Math. Sci., New York 170, No. 2, 238--250 (2010; Zbl 1305.19003); translation from Sovrem. Mat., Fundam. Napravl. 34, 109--120 (2009) Full Text: DOI arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Atiyah-Bott index on stratified manifolds. (English. Russian original) Zbl 1301.58013 J. Math. Sci., New York 170, No. 2, 229-237 (2010); translation from Sovrem. Mat., Fundam. Napravl. 34, 100-108 (2009). MSC: 58J40 58J20 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., J. Math. Sci., New York 170, No. 2, 229--237 (2010; Zbl 1301.58013); translation from Sovrem. Mat., Fundam. Napravl. 34, 100--108 (2009) Full Text: DOI arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Noncommutative geometry and classification of elliptic operators. (English. Russian original) Zbl 1301.58015 J. Math. Sci., New York 164, No. 4, 603-636 (2010); translation from Sovrem. Mat., Fundam. Napravl. 29, 131-164 (2008). MSC: 58J42 19K56 46L80 58J40 46L89 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., J. Math. Sci., New York 164, No. 4, 603--636 (2010; Zbl 1301.58015); translation from Sovrem. Mat., Fundam. Napravl. 29, 131--164 (2008) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I. (English) Zbl 1387.35404 Russ. J. Math. Phys. 17, No. 4, 434-447 (2010). MSC: 35L60 35C20 35Q35 76B15 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 17, No. 4, 434--447 (2010; Zbl 1387.35404) Full Text: DOI
Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. Asymptotic solutions of 2D wave equations with variable velocity and localized right-hand side. (English) Zbl 1192.35110 Russ. J. Math. Phys. 17, No. 1, 66-76 (2010). MSC: 35L15 35B40 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} et al., Russ. J. Math. Phys. 17, No. 1, 66--76 (2010; Zbl 1192.35110) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables satisfying two linear relations. (English. Russian original) Zbl 1219.60031 Math. Notes 84, No. 1, 73-99 (2008); translation from Mat. Zametki 84, No. 1, 69-98 (2008). MSC: 60F15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 84, No. 1, 73--99 (2008; Zbl 1219.60031); translation from Mat. Zametki 84, No. 1, 69--98 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. III. (English. Russian original) Zbl 1202.82006 Math. Notes 83, No. 6, 804-820 (2008); translation from Mat. Zametki 83, No. 6, 880-898 (2008). MSC: 82B05 60E05 60K35 62P35 82C05 82C21 44A15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 6, 804--820 (2008; Zbl 1202.82006); translation from Mat. Zametki 83, No. 6, 880--898 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by two linear inequalities. I. (English. Russian original) Zbl 1154.60076 Math. Notes 83, No. 4, 512-529 (2008); translation from Mat. Zametki 83, No. 4, 559-580 (2008). MSC: 60F15 82-02 60K35 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 4, 512--529 (2008; Zbl 1154.60076); translation from Mat. Zametki 83, No. 4, 559--580 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. II. (English. Russian original) Zbl 1153.82001 Math. Notes 83, No. 3, 345-363 (2008); translation from Mat. Zametki 83, No. 3, 381-401 (2008). MSC: 82B05 60E05 82B26 82B10 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 3, 345--363 (2008; Zbl 1153.82001); translation from Mat. Zametki 83, No. 3, 381--401 (2008) Full Text: DOI
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the index of nonlocal elliptic operators. (English. Russian original) Zbl 1160.58010 Dokl. Math. 77, No. 3, 441-445 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 5, 592-597 (2008). Reviewer: Petru A. Cojuhari (Kraków) MSC: 58J20 35S05 46L05 47G30 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 77, No. 3, 441--445 (2008; Zbl 1160.58010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 5, 592--597 (2008) Full Text: DOI
Maslov, V. P.; Nazaikinskii, V. E. On the distribution of integer random variables related by a certain linear inequality. I. (English) Zbl 1150.82017 Math. Notes 83, No. 2, 211-237 (2008); translation from Mat. Zametki 83, No. 2, 232-263 (2008). MSC: 82B05 60K35 62P35 81P20 82C05 82C41 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, Math. Notes 83, No. 2, 211--237 (2008; Zbl 1150.82017); translation from Mat. Zametki 83, No. 2, 232--263 (2008) Full Text: DOI
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. (English) Zbl 1205.58018 Burghelea, Dan (ed.) et al., \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser (ISBN 978-3-7643-8603-0/hbk). Trends in Mathematics, 207-226 (2008). MSC: 58J40 58J05 19K33 35S35 PDFBibTeX XMLCite \textit{V. Nazaikinskii} et al., in: \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser. 207--226 (2008; Zbl 1205.58018) Full Text: arXiv
Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. (English) Zbl 1205.58017 Burghelea, Dan (ed.) et al., \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser (ISBN 978-3-7643-8603-0/hbk). Trends in Mathematics, 183-206 (2008). MSC: 58J40 58J05 47L15 35S35 46L05 PDFBibTeX XMLCite \textit{V. Nazaikinskii} et al., in: \(C^*\)-algebras and elliptic theory II. Selected papers of the international conference, Bȩdlewo, Poland, January 2006. Basel: Birkhäuser. 183--206 (2008; Zbl 1205.58017) Full Text: arXiv
Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu. Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. (English) Zbl 1158.58013 Operator Theory: Advances and Applications 183. Advances in Partial Differential Equations. Basel: Birkhäuser (ISBN 978-3-7643-8774-7/hbk). xii, 224 p. (2008). Reviewer: Constantin Corduneanu (Arlington) MSC: 58J42 46L80 58J22 46-02 58J05 58-02 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Basel: Birkhäuser (2008; Zbl 1158.58013)
Maslov, V. P.; Nazaikinskii, V. E. On the Bose-Einstein distribution and Bose condensation. arXiv:0812.4885 Preprint, arXiv:0812.4885 [math.PR] (2008). MSC: 60C05 82B30 BibTeX Cite \textit{V. P. Maslov} and \textit{V. E. Nazaikinskii}, ``On the Bose-Einstein distribution and Bose condensation'', Preprint, arXiv:0812.4885 [math.PR] (2008) Full Text: arXiv OA License
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the homotopy classification of elliptic operators on manifolds with corners. (English. Russian original) Zbl 1156.58011 Dokl. Math. 75, No. 2, 186-189 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 16-19 (2007). MSC: 58J40 58J05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Dokl. Math. 75, No. 2, 186--189 (2007; Zbl 1156.58011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 413, No. 1, 16--19 (2007) Full Text: DOI