Journal
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
Volume 60, Issue 8, Pages 1348-1360Publisher
PLEIADES PUBLISHING INC
DOI: 10.1134/S0965542520080060
Keywords
evolution equation; Cauchy problem; localized initial conditions; semiclassical asymptotics; WKB method; Maslov's canonical operator; efficient formulas
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Funding
- Russian Science Foundation [16-11-10282]
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The Cauchy problem with localized initial conditions is considered for a large class of evolution equations that includes the Schrodinger 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.
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