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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 8, Pages 1394–1407
DOI: https://doi.org/10.31857/S0044466920080062 (Mi zvmmf11119) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media

S. Yu. Dobrokhotov, V. E. Nazaikinskii

Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia
Citations (4)
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DOI: https://doi.org/10.31857/S0044466920080062
Abstract: The Cauchy problem with localized initial conditions is considered for a large class of evolution equations that includes the Schrödinger and Dirac equations, Maxwell equations, linearized fluid dynamics equations, equations of the linear theory of surface water waves, equations of elasticity theory, acoustics equations, and many others. A general approach to the construction of efficient asymptotic formulas in such problems is discussed.
Key words: evolution equation, Cauchy problem, localized initial conditions, semiclassical asymptotics, WKB method, Maslov's canonical operator, efficient formulas.
Funding agency
This paper is based on the studies supported by the Russian Science Foundation under project no. 16-11-10282.
Received: 15.02.2020
Revised: 15.02.2020
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 8, Pages 1348–1360
DOI: https://doi.org/10.1134/S0965542520080060
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020), 1394–1407; Comput. Math. Math. Phys., 60:8 (2020), 1348–1360
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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