Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations

DOI10.1070/RM9973zbMath1492.81056OpenAlexW4205399694WikidataQ115322796 ScholiaQ115322796MaRDI QIDQ5069060

S. Yu. Dobrokhotov, Andrej I. Shafarevich, Vladimir E. Nazaikinskii

Publication date: 8 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9973

zbMATH Keywords

Cauchy problem semiclassical asymptotics differential equations Maslov canonical operator localized initial conditions efficient asymptotics

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Lagrangian submanifolds; Maslov index (53D12) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for first-order hyperbolic systems (35L45) Initial value problems for PDEs with pseudodifferential operators (35S10)

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