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.
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页码：286 / 301
页数：16
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