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
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
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
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
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.; 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
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
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
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
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
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
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
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
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.; 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
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)
Nazaikinskii, V. E. Semiclassical Lefschetz formulas on smooth and singular manifolds. (English) Zbl 1059.58503 Russ. J. Math. Phys. 6, No. 2, 202-213 (1999). MSC: 58J20 58J40 81Q20 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii}, Russ. J. Math. Phys. 6, No. 2, 202--213 (1999; Zbl 1059.58503)
Nazaikinskii, Vladimir E.; Vorobjev, Yurii M. On the cycle of singularities of isotropic submanifolds. (English) Zbl 0923.58007 Russ. J. Math. Phys. 5, No. 1, 131-134 (1997). Reviewer: St.Hineva (Sofia) MSC: 58C25 58K99 PDFBibTeX XMLCite \textit{V. E. Nazaikinskii} and \textit{Y. M. Vorobjev}, Russ. J. Math. Phys. 5, No. 1, 131--134 (1997; Zbl 0923.58007)
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)