Existence of Solutions of Nonlinear Strongly Dissipative Wave Equations with Acoustic Transmission Conditions

被引：0

作者：

Isayeva, S. E. ^{[1
]}

机构：

[1] Baku State Univ, AZ-1148 Baku, Azerbaijan

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2020年 / 60卷 / 02期

关键词：

nonlinear wave equation; acoustic transmission conditions; local solution; fixed point theorem; ATTRACTORS;

D O I：

10.1134/S0965542520020062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The mixed problem for nonlinear strongly dissipative wave equations with acoustic transmission conditions is considered. An existence and uniqueness theorem for local solutions is proved using the Faedo-Galerkin approximations, the compactness method, and the fixed point theorem. The existence of global solutions of this problem is also proved.

引用

页码：286 / 301

页数：16

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