Perel, M. V. Quasiphotons for the nonstationary 2D Dirac equation. (English. Russian original) Zbl 1479.35713 J. Math. Sci., New York 252, No. 5, 687-694 (2021); translation from Zap. Nauchn. Semin. POMI 483, 178-188 (2019). MSC: 35Q41 81V74 82D80 35C20 35B05 78A25 78A40 PDFBibTeX XMLCite \textit{M. V. Perel}, J. Math. Sci., New York 252, No. 5, 687--694 (2021; Zbl 1479.35713); translation from Zap. Nauchn. Semin. POMI 483, 178--188 (2019) Full Text: DOI
Fialkovsky, Ignat; Perel, Maria Mode transformation for a Schrödinger type equation: avoided and unavoidable level crossings. (English) Zbl 1461.81031 J. Math. Phys. 61, No. 4, 043506, 30 p. (2020). Reviewer: Vatsal Dwivedi (Köln) MSC: 81Q05 81Q15 81Q37 35C20 34E20 PDFBibTeX XMLCite \textit{I. Fialkovsky} and \textit{M. Perel}, J. Math. Phys. 61, No. 4, 043506, 30 p. (2020; Zbl 1461.81031) Full Text: arXiv
Perel, Maria V.; Gorodnitskiy, Evgeny A. Decomposition of solutions of the wave equation into Poincaré wavelets. (English) Zbl 1458.35123 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16–20, 2018. Basel: Birkhäuser. 343-352 (2019). MSC: 35C15 35L15 42C40 PDFBibTeX XMLCite \textit{M. V. Perel} and \textit{E. A. Gorodnitskiy}, in: Integral methods in science and engineering. Analytic treatment and numerical approximations. Based on talks given at the 15th international conference on integral methods in science and engineering, IMSE, Brighton, UK, July 16--20, 2018. Basel: Birkhäuser. 343--352 (2019; Zbl 1458.35123) Full Text: DOI
Gorodnitskiy, E. A.; Perel, M. V. Justification of a wavelet-based integral formula for solutions of the wave equation. (English. Russian original) Zbl 1416.35074 J. Math. Sci., New York 238, No. 5, 630-640 (2019); translation from Zap. Nauchn. Semin. POMI 461, 107-123 (2017). MSC: 35C15 35L05 PDFBibTeX XMLCite \textit{E. A. Gorodnitskiy} and \textit{M. V. Perel}, J. Math. Sci., New York 238, No. 5, 630--640 (2019; Zbl 1416.35074); translation from Zap. Nauchn. Semin. POMI 461, 107--123 (2017) Full Text: DOI
Perel, M. V.; Sidorenko, M. S. Asymptotic solutions of Maxwell’s equations in a layered periodic structure. (English) Zbl 1405.78013 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer (ISBN 978-3-319-59383-8/hbk; 978-3-319-59384-5/ebook). 259-264 (2017). MSC: 78M35 78A30 35C20 PDFBibTeX XMLCite \textit{M. V. Perel} and \textit{M. S. Sidorenko}, in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 259--264 (2017; Zbl 1405.78013) Full Text: DOI
Perel, Maria V.; Sidorenko, Mikhail S. Two-Scale Approach to an Asymptotic Solution of Maxwell Equations in Layered Periodic Media. arXiv:1511.00115 Preprint, arXiv:1511.00115 [math-ph] (2015). MSC: 35Q61 BibTeX Cite \textit{M. V. Perel} and \textit{M. S. Sidorenko}, ``Two-Scale Approach to an Asymptotic Solution of Maxwell Equations in Layered Periodic Media'', Preprint, arXiv:1511.00115 [math-ph] (2015) Full Text: arXiv OA License
Fialkovsky, I. V.; Perel, M. V.; Plachenov, A. B. On astigmatic exponentially localized solutions for the wave and the Klein-Gordon-Fock equations. (English) Zbl 1309.81073 J. Math. Phys. 55, No. 11, 112902, 20 p. (2014). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 81Q05 35Q40 81U30 PDFBibTeX XMLCite \textit{I. V. Fialkovsky} et al., J. Math. Phys. 55, No. 11, 112902, 20 p. (2014; Zbl 1309.81073) Full Text: DOI arXiv
Babich, V. M.; Budylin, A. M.; Dmitrieva, L. A.; Fedotov, A. A.; Komech, A. I.; Levin, S. B.; Perel, M. V.; Rybakina, E. A.; Sukhanov, V. V. On the mathematical work of Vladimir Savel’evich Buslaev. (English. Russian original) Zbl 1304.35001 St. Petersbg. Math. J. 25, No. 2, 151-174 (2014); translation from Algebra Anal. 25, No. 2, 3-36 (2013). MSC: 35-00 01A70 PDFBibTeX XMLCite \textit{V. M. Babich} et al., St. Petersbg. Math. J. 25, No. 2, 151--174 (2014; Zbl 1304.35001); translation from Algebra Anal. 25, No. 2, 3--36 (2013) Full Text: DOI
Perel, Maria; Gorodnitskiy, Evgeny Integral representations of solutions of the wave equation based on relativistic wavelets. (English) Zbl 1252.35115 J. Phys. A, Math. Theor. 45, No. 38, Article ID 385203, 14 p. (2012). MSC: 35C15 35L05 42C40 PDFBibTeX XMLCite \textit{M. Perel} and \textit{E. Gorodnitskiy}, J. Phys. A, Math. Theor. 45, No. 38, Article ID 385203, 14 p. (2012; Zbl 1252.35115) Full Text: DOI arXiv
Perel, M.; Sidorenko, M.; Gorodnitskiy, E. Multiscale investigation of solutions of the wave equation. (English) Zbl 1190.65156 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 2: Computational methods. Selected papers based on the presentations at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7–10, 2008. Boston, MA: Birkhäuser (ISBN 978-0-8176-4896-1/hbk; 978-0-8176-4897-8/ebook). 291-300 (2010). MSC: 65M70 65T60 35L05 35A22 PDFBibTeX XMLCite \textit{M. Perel} et al., in: Integral methods in science and engineering. Volume 2: Computational methods. Selected papers based on the presentations at the 10th international conference on integral methods in science and engineering (IMSE 2008), Santander, Spain, July 7--10, 2008. Boston, MA: Birkhäuser. 291--300 (2010; Zbl 1190.65156) Full Text: DOI
Perel, Maria V.; Sidorenko, Mikhail S. Wavelet-based integral representation for solutions of the wave equation. (English) Zbl 1181.35032 J. Phys. A, Math. Theor. 42, No. 37, Article ID 375211, 11 p. (2009). MSC: 35C15 35L05 42C40 35L15 PDFBibTeX XMLCite \textit{M. V. Perel} and \textit{M. S. Sidorenko}, J. Phys. A, Math. Theor. 42, No. 37, Article ID 375211, 11 p. (2009; Zbl 1181.35032) Full Text: DOI arXiv
Perel, Maria V.; Sidorenko, Mikhail S. New physical wavelet ’Gaussian wave packet’. (English) Zbl 1114.35114 J. Phys. A, Math. Theor. 40, No. 13, 3441-3461 (2007). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35L05 42C40 PDFBibTeX XMLCite \textit{M. V. Perel} and \textit{M. S. Sidorenko}, J. Phys. A, Math. Theor. 40, No. 13, 3441--3461 (2007; Zbl 1114.35114) Full Text: DOI arXiv
Perel, Maria V.; Sidorenko, Mikhail S. Wavelet analysis in solving the Cauchy problem for the wave equation in three-dimensional space. (English) Zbl 1048.65097 Cohen, Gary C. (ed.) et al., Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Berlin: Springer (ISBN 3-540-40127-X/hbk). 794-798 (2003). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65M70 35L05 65T60 PDFBibTeX XMLCite \textit{M. V. Perel} and \textit{M. S. Sidorenko}, in: Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June -- 4 July 2003. Berlin: Springer. 794--798 (2003; Zbl 1048.65097)
Kiselev, A. P.; Perel’, M. V. Relatively distortion-free waves for the \(m\)-dimensional wave equation. (English. Russian original) Zbl 1028.35038 Differ. Equ. 38, No. 8, 1206-1207 (2002); translation from Differ. Uravn. 38, No. 8, 1128-1129 (2002). MSC: 35C05 35L05 PDFBibTeX XMLCite \textit{A. P. Kiselev} and \textit{M. V. Perel'}, Differ. Equ. 38, No. 8, 1206--1207 (2002; Zbl 1028.35038); translation from Differ. Uravn. 38, No. 8, 1128--1129 (2002) Full Text: DOI
Perel’, M. V.; Fialkovsky, I. V. Exponentially localized solutions to the Klein-Gordon equation. (English. Russian original) Zbl 1073.35015 J. Math. Sci., New York 117, No. 2, 3994-4000 (2003); translation from Zap. Nauchn. Semin. POMI 275, 187-198 (2001). MSC: 35B05 35L05 35C05 35L70 PDFBibTeX XMLCite \textit{M. V. Perel'} and \textit{I. V. Fialkovsky}, J. Math. Sci., New York 117, No. 2, 3994--4000 (2001; Zbl 1073.35015); translation from Zap. Nauchn. Semin. POMI 275, 187--198 (2001) Full Text: DOI arXiv
Kiselev, Aleksei P.; Perel, Maria V. Highly localized solutions of the wave equation. (English) Zbl 0982.35019 J. Math. Phys. 41, No. 4, 1934-1955 (2000). Reviewer: Eryk Infeld (Warszawa) MSC: 35B40 35L05 35C05 PDFBibTeX XMLCite \textit{A. P. Kiselev} and \textit{M. V. Perel}, J. Math. Phys. 41, No. 4, 1934--1955 (2000; Zbl 0982.35019) Full Text: DOI
Kiselev, A. P.; Perel’, M. V. On the nature of “quasiphotons”. (English. Russian original) Zbl 0939.78003 J. Math. Sci., New York 96, No. 4, 3355-3358 (1999); translation from Zap. Nauchn. Semin. POMI 239, 117-122 (1997). MSC: 78A25 35L05 PDFBibTeX XMLCite \textit{A. P. Kiselev} and \textit{M. V. Perel'}, J. Math. Sci., New York 96, No. 4, 1 (1997; Zbl 0939.78003); translation from Zap. Nauchn. Semin. POMI 239, 117--122 (1997)