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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 1
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Research Article

Uniform asymptotics of solutions of the wave operator with meromorphic coefficients

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Pages 239-252 | Received 01 Dec 2020, Accepted 21 Jun 2021, Published online: 02 Jul 2021
 

Abstract

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.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

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