Uniform asymptotics of solutions of the wave operator with meromorphic coefficients

被引：6

作者：

Korovina, Maria V. ^{[1
]}

Matevossian, Hovik A. ^{[2
,3
]}

Smirnov, Ilya N. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow, Russia

[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow, Russia

[3] Natl Res Univ, Moscow Aviat Inst, Moscow, Russia

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 01期

关键词：

Wave operator; uniform asymptotics; meromorphic coefficients; ELASTICITY SYSTEM; EQUATIONS; DEGENERATION;

D O I：

10.1080/00036811.2021.1949455

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the problem of wave propagation in the medium whose velocity characteristics change under an external impact. We will study a three-dimensional case. The aim of our study is constructing the asymptotic of the solution for the wave operator with a variable time depended coefficient of the Laplacian at infinity. The case of meromorphic and holomorphic coefficients is considered.

引用

页码：239 / 252

页数：14

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