Agbor, A.; Molchanov, S.; Vainberg, B. Global limit theorems on the convergence of multidimensional random walks to stable processes. (English) Zbl 1316.60034 Stoch. Dyn. 15, No. 3, Article ID 1550024, 14 p. (2015). MSC: 60F10 60F05 60G50 60G52 PDFBibTeX XMLCite \textit{A. Agbor} et al., Stoch. Dyn. 15, No. 3, Article ID 1550024, 14 p. (2015; Zbl 1316.60034) Full Text: DOI arXiv
Lakshtanov, E.; Sleeman, B. D.; Vainberg, B. High frequency scattering by a classically invisible body. (English) Zbl 1257.78010 SIAM J. Appl. Math. 72, No. 2, 646-669 (2012). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 35J05 35P25 PDFBibTeX XMLCite \textit{E. Lakshtanov} et al., SIAM J. Appl. Math. 72, No. 2, 646--669 (2012; Zbl 1257.78010) Full Text: DOI arXiv
Imaykin, Valery; Komech, Alexander; Vainberg, Boris Scattering of solitons for coupled wave-particle equations. (English) Zbl 1235.35068 J. Math. Anal. Appl. 389, No. 2, 713-740 (2012). MSC: 35C08 35L10 37K40 35Q40 PDFBibTeX XMLCite \textit{V. Imaykin} et al., J. Math. Anal. Appl. 389, No. 2, 713--740 (2012; Zbl 1235.35068) Full Text: DOI arXiv Link
Molchanov, S.; Vainberg, B. Laplace operator in networks of thin fibers: spectrum near the threshold. (English) Zbl 1173.35088 Arous, Gerard Ben (ed.) et al., Stochastic analysing in mathematical physics. Proceedings of a satellite conference of ICM 2006, Lisbon, Portugal, September 4–8, 2006. Selected papers. Hackensack, NJ: World Scientific (ISBN 978-981-279-154-2/hbk). 69-94 (2008). Reviewer: W. D. Evans (Cardiff) MSC: 35P05 35B25 35P25 PDFBibTeX XMLCite \textit{S. Molchanov} and \textit{B. Vainberg}, in: Stochastic analysing in mathematical physics. Proceedings of a satellite conference of ICM 2006, Lisbon, Portugal, September 4--8, 2006. Selected papers. Hackensack, NJ: World Scientific. 69--94 (2008; Zbl 1173.35088) Full Text: arXiv
Komech, A. I.; Kopylova, E. A.; Vainberg, B. R. On dispersive properties of discrete 2D Schrödinger and Klein-Gordon equations. (English) Zbl 1148.35087 J. Funct. Anal. 254, No. 8, 2227-2254 (2008). Reviewer: Jerzy Gawinecki (Warszawa) MSC: 35Q55 35Q53 35B40 35P05 39A12 PDFBibTeX XMLCite \textit{A. I. Komech} et al., J. Funct. Anal. 254, No. 8, 2227--2254 (2008; Zbl 1148.35087) Full Text: DOI
Imaikin, Valery; Komech, Alexander; Vainberg, Boris On scattering of solitons for the Klein-Gordon equation coupled to a particle. (English) Zbl 1127.35054 Commun. Math. Phys. 268, No. 2, 321-367 (2006). MSC: 35Q40 81U05 37K40 35P25 35Q51 35L70 PDFBibTeX XMLCite \textit{V. Imaikin} et al., Commun. Math. Phys. 268, No. 2, 321--367 (2006; Zbl 1127.35054) Full Text: DOI arXiv
Molchanov, Stanislav; Vainberg, Boris Transition from a network of thin fibers to the quantum graphs: an explicitly solvable model. (English) Zbl 1317.35046 Berkolaiko, Gregory (ed.) et al., Quantum graphs and their applications. Proceedings of an AMS-IMS-SIAM joint summer research conference on quantum graphs and their applications, Snowbird, UT, USA, June 19–23, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3765-6/pbk). Contemporary Mathematics 415, 227-239 (2006). MSC: 35J25 35J05 35P25 58J37 58J50 78A50 81Q35 81Q80 PDFBibTeX XMLCite \textit{S. Molchanov} and \textit{B. Vainberg}, Contemp. Math. 415, 227--239 (2006; Zbl 1317.35046) Full Text: DOI arXiv
Islami, H.; Vainberg, B. Large time behavior of solutions to difference wave operators. (English) Zbl 1092.39006 Commun. Partial Differ. Equations 31, No. 1-3, 397-416 (2006). Reviewer: Bogdan Sasu (Timişoara) MSC: 39A11 35B40 35L05 35P25 47A40 47B39 PDFBibTeX XMLCite \textit{H. Islami} and \textit{B. Vainberg}, Commun. Partial Differ. Equations 31, No. 1--3, 397--416 (2006; Zbl 1092.39006) Full Text: DOI arXiv
Angell, T. S.; Kleinman, R. E.; Vainberg, B. Asymptotic methods for an optimal antenna problem. (English) Zbl 1027.78005 SIAM J. Appl. Math. 59, No. 1, 242-260 (1999). MSC: 78A50 35Q60 49J20 PDFBibTeX XMLCite \textit{T. S. Angell} et al., SIAM J. Appl. Math. 59, No. 1, 242--260 (1999; Zbl 1027.78005) Full Text: DOI
Molchanov, S.; Vainberg, B. On spectral asymptotics for domains with fractal boundaries. (English) Zbl 0867.58068 Commun. Math. Phys. 183, No. 1, 85-117 (1997). Reviewer: P.Gilkey (Eugene) MSC: 58J50 58J37 PDFBibTeX XMLCite \textit{S. Molchanov} and \textit{B. Vainberg}, Commun. Math. Phys. 183, No. 1, 85--117 (1997; Zbl 0867.58068) Full Text: DOI
Kleinman, R.; Vainberg, B. Full low-frequency asymptotic expansion for second-order elliptic equations in two dimensions. (English) Zbl 0812.35028 Math. Methods Appl. Sci. 17, No. 12, 989-1004 (1994). Reviewer: A.G.Ramm (Manhatten) MSC: 35J15 35B40 PDFBibTeX XMLCite \textit{R. Kleinman} and \textit{B. Vainberg}, Math. Methods Appl. Sci. 17, No. 12, 989--1004 (1994; Zbl 0812.35028) Full Text: DOI
Vajnberg, B. R. Asymptotic behaviour of solutions of external mixed problems for hyperbolic equations as \(t\to \infty\) and the quasi-classics. (Russian) Zbl 0657.35080 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 34, 57-92 (1988). MSC: 35L20 35Q99 35B40 35P25 PDFBibTeX XMLCite \textit{B. R. Vajnberg}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 34, 57--92 (1988; Zbl 0657.35080)
Vajnberg, B. R. Quasiclassical approximation in stationary scattering problems. (English) Zbl 0413.35025 Funct. Anal. Appl. 11, 247-257 (1978). MSC: 35J05 35B40 35P25 PDFBibTeX XMLCite \textit{B. R. Vajnberg}, Funct. Anal. Appl. 11, 247--257 (1978; Zbl 0413.35025) Full Text: DOI