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
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, 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
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
Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E. Contact geometry and linear differential equations. (English. Russian original) Zbl 0826.58037 Russ. Math. Surv. 48, No. 3, 93-132 (1993); translation from Usp. Mat. Nauk 48, No. 3(291), 97-134 (1993). Reviewer: J.Eichhorn (Greifswald) MSC: 58J40 37J55 58J60 53C15 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Russ. Math. Surv. 48, No. 3, 1 (1993; Zbl 0826.58037); translation from Usp. Mat. Nauk 48, No. 3(291), 97--134 (1993) Full Text: DOI
Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu. Contact geometry and linear differential equations. (English) Zbl 0813.58003 De Gruyter Expositions in Mathematics. 6. Berlin etc.: W. de Gruyter. ix, 216 p. (1992). Reviewer: W.Mozgawa (Lublin) MSC: 58-02 58J40 37J55 53D10 58C35 PDFBibTeX XMLCite \textit{V. E. Nazaĭkinskiĭ} et al., Contact geometry and linear differential equations. Berlin etc.: W. de Gruyter (1992; Zbl 0813.58003)