On Solvability of Boundary-Value Problems for the Wave Equation with a Nonlinear Dissipation in Noncylindrical Domains

被引：0

作者：

A. I. Kozhanov

N. A. Lar'kin

机构：

[1] Sobolev Institute of Mathematics,

[2] The Institute of Theoretical and Applied Mechanics,undefined

来源：

Siberian Mathematical Journal | 2001年 / 42卷

关键词：

Wave Equation; Existence Theorem; Regular Solution; Energy Norm; Nonlinear Dissipation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Solvability in noncylindrical domains is studied for some analogs of the first initial-boundary value problem for the wave equation with nonlinear increasing lower-order terms. Considered are the cases of domains that expand or contract with the growth of time. Alongside the existence theorems for regular solutions of boundary value problems some results are presented on the behavior of the energy norm of a solution as t→+∞.

引用

页码：1062 / 1081

页数：19

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