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. 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
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
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
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
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. 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
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
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. 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
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
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
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
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
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
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.; 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
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. 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
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
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
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, A. Yu.; Sternin, B. Yu. Pseudodifferential operators on stratified manifolds. II. (English. Russian original) Zbl 1140.58008 Differ. Equ. 43, No. 5, 704-716 (2007); translation from Differ. Uravn. 43, No. 5, 685-696 (2007). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J40 47G30 35S35 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Differ. Equ. 43, No. 5, 704--716 (2007; Zbl 1140.58008); translation from Differ. Uravn. 43, No. 5, 685--696 (2007) Full Text: DOI arXiv
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Pseudodifferential operators on stratified manifolds. (English. Russian original) Zbl 1133.58023 Differ. Equ. 43, No. 4, 536-549 (2007); translation from Differ. Uravn. 43, No. 4, 519-532 (2007). Reviewer: Leszek Skrzypczak (Poznań) MSC: 58J40 35S35 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Differ. Equ. 43, No. 4, 536--549 (2007; Zbl 1133.58023); translation from Differ. Uravn. 43, No. 4, 519--532 (2007) Full Text: DOI
Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. Homotopy classification of elliptic operators on stratified manifolds. (English. Russian original) Zbl 1327.58025 Dokl. Math. 73, No. 3, 407-411 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 5, 591-595 (2006). MSC: 58J20 58J40 19K33 35S05 46L80 47F05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Dokl. Math. 73, No. 3, 407--411 (2006; Zbl 1327.58025); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 5, 591--595 (2006) Full Text: DOI
Nazaikinskii, V. E.; Sternin, B. Yu. Surgery and the relative index in elliptic theory. (English) Zbl 1133.58014 Abstr. Appl. Anal. 2006, Article ID 98081, 16 p. (2006). MSC: 58J20 35J45 47G30 58J30 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Abstr. Appl. Anal. 2006, Article ID 98081, 16 p. (2006; Zbl 1133.58014) Full Text: DOI EuDML
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. Pseudodifferential operators on manifolds with singularities and localization. (English. Russian original) Zbl 1272.58012 Dokl. Math. 71, No. 3, 457-460 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 6, 743-747 (2005). MSC: 58J40 35S05 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 71, No. 3, 457--460 (2005; Zbl 1272.58012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 402, No. 6, 743--747 (2005)
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. On the index of differential operators on manifolds with edges. (English. Russian original) Zbl 1125.58303 Dokl. Math. 69, No. 1, 68-71 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 3, 309-312 (2004). MSC: 58J22 35J30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 69, No. 1, 68--71 (2004; Zbl 1125.58303); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 3, 309--312 (2004)
Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. On the definition of pseudodifferential operators on manifolds with singularities. (English. Russian original) Zbl 1125.58305 Dokl. Math. 69, No. 1, 41-44 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 2, 162-165 (2004). MSC: 58J40 35S05 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 69, No. 1, 41--44 (2004; Zbl 1125.58305); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 394, No. 2, 162--165 (2004)
Nazaikinskii, V. E.; Sternin, B. Yu. Operator algebras on manifolds with isolated singularities. (English. Russian original) Zbl 1181.35358 Differ. Equ. 39, No. 1, 99-111 (2003); translation from Differ. Uravn. 39, No. 1, 92-104 (2003). MSC: 35S05 58J40 47L80 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Differ. Equ. 39, No. 1, 99--111 (2003; Zbl 1181.35358); translation from Differ. Uravn. 39, No. 1, 92--104 (2003) Full Text: DOI
Nazaikinskii, V. E.; Sternin, B. Yu. On the Green operator in relative elliptic theory. (English. Russian original) Zbl 1125.58302 Dokl. Math. 68, No. 1, 57-60 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 3, 306-309 (2003). MSC: 58J05 35S05 47F05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Dokl. Math. 68, No. 1, 57--60 (2003; Zbl 1125.58302); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 3, 306--309 (2003)
Nazaikinskii, V. E.; Sternin, B. Yu. A remark on surgery in index theory of elliptic operators. (English) Zbl 1039.35153 de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1378-7/hbk). Math. Phys. Stud. 24, 363-372 (2003). Reviewer: Alberto Parmeggiani (Bologna) MSC: 35S30 35S05 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{B. Yu. Sternin}, Math. Phys. Stud. 24, 363--372 (2003; Zbl 1039.35153)
Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y. Quantization methods in differential equations. (English) Zbl 1079.81040 Differential and Integral Equations and Their Applications 3. London: Taylor & Francis (ISBN 0-415-27364-1). xii, 356 p. (2002). MSC: 58J40 58-02 35B40 35Q40 35Q60 47G30 81Q05 81Q20 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Quantization methods in differential equations. London: Taylor \& Francis (2002; Zbl 1079.81040)
Nazaikinskij, V. E.; Sternin, B. Yu. Algebras of pseudodifferential operators on manifolds with singularities. (English. Russian original) Zbl 1065.47045 Dokl. Math. 63, No. 3, 302-305 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 1, 14-17 (2001). Reviewer: Niels Jacob (Swansea) MSC: 47G30 35S99 47L80 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} and \textit{B. Yu. Sternin}, Dokl. Math. 63, No. 3, 14--17 (2001; Zbl 1065.47045); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 1, 14--17 (2001)
Nazaikinskij, V. E.; Schulze, B.-W.; Sternin, B. Yu. The index of Fourier integral operators on manifolds with conical singularities. (English. Russian original) Zbl 1004.58015 Izv. Math. 65, No. 2, 329-355 (2001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 2, 127-154 (2001). Reviewer: Yong Seung Cho (Seoul) MSC: 58J40 58J20 35S30 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., Izv. Math. 65, No. 2, 329--355 (2001; Zbl 1004.58015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 2, 127--154 (2001) Full Text: DOI
Nazaikinskij, V. E.; Sternin, B. Yu. Localization and surgery in the index theory of elliptic operators. (English. Russian original) Zbl 1054.58014 Dokl. Math. 61, No. 1, 13-16 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 1, 19-23 (2000). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J20 35J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} and \textit{B. Yu. Sternin}, Dokl. Math. 61, No. 1, 19--23 (2000; Zbl 1054.58014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 1, 19--23 (2000)
Nazaikinskii, V. E. On nonanalytic conormal symbols. (English) Zbl 1189.35394 Russ. J. Math. Phys. 7, No. 3, 330-340 (2000). MSC: 35S05 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 7, No. 3, 330--340 (2000; Zbl 1189.35394)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Schulze, B.-W. The index of quantized contact transformations on manifolds with conical singularities. (English. Russian original) Zbl 1072.58502 Dokl. Math. 60, No. 2, 243-245 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 5, 598-600 (1999). MSC: 58J20 35S30 58J40 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Dokl. Math. 60, No. 2, 598--600 (1999; Zbl 1072.58502); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 368, No. 5, 598--600 (1999)
Nazaikinskij, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. Spectral boundary value problems and elliptic equations on manifolds with singularities. (English. Russian original) Zbl 0962.58008 Dokl. Math. 60, No. 1, 97-99 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 5, 597-599 (1999). MSC: 58J32 35J55 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., Dokl. Math. 60, No. 1, 597--599 (1999; Zbl 0962.58008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 5, 597--599 (1999)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. Spectral boundary value problems and elliptic equations on singular manifolds. (English. Russian original) Zbl 1040.58500 Differ. Equations 34, No. 5, 696-710 (1998); translation from Differ. Uravn. 34, No. 5, 695-708 (1998). MSC: 58J32 35P05 35S15 47G30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Differ. Equations 34, No. 5, 696--710 (1998; Zbl 1040.58500); translation from Differ. Uravn. 34, No. 5, 695--708 (1998)
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. Methods of noncommutative analysis: theory and applications. (English) Zbl 0876.47015 de Gruyter Studies in Mathematics. 22. Berlin: Walter de Gruyter. x, 373 p. (1995). Reviewer: A.Kondrat’ev (Pensacola) MSC: 47A60 47-02 35-02 47-XX 44-XX 81R50 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., Methods of noncommutative analysis: theory and applications. Berlin: Walter de Gruyter (1995; Zbl 0876.47015)
Dubnov, Vladimir L.; Maslov, Victor P.; Nazaikinskii, Vladimir E. The complex Lagrangian germ and the canonical operator. (English) Zbl 0920.58051 Russ. J. Math. Phys. 3, No. 2, 141-190 (1995); errata ibid. 4, No. 2, 271 (1996). Reviewer: W.M.Oliva (Lisboa) MSC: 58J37 35Q58 58J40 PDFBibTeX XMLCite \textit{V. L. Dubnov} et al., Russ. J. Math. Phys. 3, No. 2, 1 (1995; Zbl 0920.58051) Full Text: arXiv
Nazaikinskii, Vladimir E. \(D\)-modules and Leray uniformization in the Cauchy problem for overdetermined systems. (English) Zbl 0904.58055 Russ. J. Math. Phys. 2, No. 2, 265-266 (1994). MSC: 58J15 35N10 32C38 58J47 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 2, No. 2, 265--266 (1994; Zbl 0904.58055)
Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. Analytic singularities of solutions of differential equations. (English) Zbl 0792.58039 Kashiwara, Masaki (ed.) et al., D-modules and microlocal geometry. Proceedings of the international conference, held at the University of Lisbon, Portugal, Oct. 29-Nov. 2, 1990. Berlin: Walter de Gruyter. 187-198 (1993). Reviewer: A.V.Aminova (Kazan’) MSC: 58J47 32S40 35A07 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} et al., in: D-modules and microlocal geometry. Proceedings of the international conference, held at the University of Lisbon, Portugal, Oct. 29-Nov. 2, 1990. Berlin: Walter de Gruyter. 187--198 (1993; Zbl 0792.58039)
Nazaikinskij, V. E.; Sternin, B. Yu.; Shatalov, V. E. Introduction to Maslov’s operational method (applications). (English) Zbl 0827.35006 Borisovich, Yu. G. (ed.), Problems of geometry, topology and mathematical physics. Voronezh: Izdatel’stvo Voronezhskogo Universiteta. Nov. Global’nom Anal. 51-64 (1992). MSC: 35A25 76X05 PDFBibTeX XMLCite \textit{V. E. Nazaikinskij} et al., in: Zadachi geometrii, topologii i matematicheskoj fiziki. Voronezh: Izdatel'stvo Voronezhskogo Universiteta. 51--64 (1992; Zbl 0827.35006)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E. On an application of the Maslov operator method to a diffraction problem. (English. Russian original) Zbl 0788.35024 Sov. Math., Dokl. 43, No. 2, 547-549 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 832-834 (1991). MSC: 35G10 78A45 78A05 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Sov. Math., Dokl. 43, No. 2, 547--549 (1991; Zbl 0788.35024); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 832--834 (1991)
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E. Local solvability of differential equations in spaces of many-valued analytic functions. (English. Russian original) Zbl 0769.35002 Differ. Equations 27, No. 1, 82-91 (1991); translation from Differ. Uravn. 27, No. 1, 103-114 (1991). Reviewer: M.Biroli (Monza) MSC: 35A20 58C10 32Q99 58J47 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Differ. Equations 27, No. 1, 82--91 (1991; Zbl 0769.35002); translation from Differ. Uravn. 27, No. 1, 103--114 (1991)
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. (English) Zbl 0702.35002 Contemporary Soviet Mathematics. New York etc.: Consultants Bureau. vi, 313 p. $ 79.50 (1988). MSC: 35-02 35S05 58J40 35C20 35B25 35F10 35A22 42A38 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. New York etc.: Consultants Bureau (1988; Zbl 0702.35002)
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Asymptotics for equations with singularities in the characteristics. (English) Zbl 0503.35037 Math. USSR, Izv. 19, 315-347 (1982). MSC: 35J70 35A30 35L80 58J40 35A20 58J42 35N15 35B40 35A35 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, Math. USSR, Izv. 19, 315--347 (1982; Zbl 0503.35037) Full Text: DOI
Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E. Fourier integral operators and the canonical operator. (English. Russian original) Zbl 0507.58043 Russ. Math. Surv. 36, No. 2, 93-161 (1981); translation from Usp. Mat. Nauk 36, No. 2(218), 81-140 (1981). MSC: 58J40 47G10 35R20 35S30 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Russ. Math. Surv. 36, No. 2, 93--161 (1981; Zbl 0507.58043); translation from Usp. Mat. Nauk 36, No. 2(218), 81--140 (1981) Full Text: DOI
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Asymptotics for equations with singularities in the characteristics. I. (Russian) Zbl 0484.35009 Izv. Akad. Nauk SSSR, Ser. Mat. 45, 1049-1087 (1981). MSC: 35A30 35B40 47J05 70H15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, Izv. Akad. Nauk SSSR, Ser. Mat. 45, 1049--1087 (1981; Zbl 0484.35009)
Maslov, V. P.; Nazaĭkinskiĭ, V. E. Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. (English. Russian original) Zbl 0482.58028 J. Sov. Math. 15, 167-273 (1981); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 5-144 (1979). MSC: 58J40 35B40 47A60 35S05 81Q10 81S05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{V. E. Nazaĭkinskiĭ}, J. Sov. Math. 15, 167--273 (1979; Zbl 0482.58028); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 13, 5--144 (1979) Full Text: DOI
Karasev, M. V.; Nazaĭkinskiĭ, V. E. On the quantization of rapidly oscillating symbols. (English) Zbl 0417.47025 Math. USSR, Sb. 34, 737-764 (1978). MSC: 47G10 47A60 35S10 81T05 PDFBibTeX XMLCite \textit{M. V. Karasev} and \textit{V. E. Nazaĭkinskiĭ}, Math. USSR, Sb. 34, 737--764 (1978; Zbl 0417.47025) Full Text: DOI