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

DOI10.1134/S0965542520080060zbMath1450.35119OpenAlexW3092420723MaRDI QIDQ2206374

S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520080060

zbMATH Keywords

Cauchy problemsemiclassical asymptoticsWKB methodlocalized initial conditionsefficient formulasMaslov's canonical operator

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Initial value problems for linear higher-order PDEs (35G10) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (2)

Canonical operator on punctured Lagrangian manifolds ⋮ Asymptotic solution of the Cauchy problem with localized initial data for a wave equation with small dispersion effects

Cites Work

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