On the decay of solutions of a damped quasilinear wave equation with variable-exponent nonlinearities

被引：15

作者：

Messaoudi, Salim A. ^{[1
]}

机构：

[1] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 08期

关键词：

exponential decay; polynomial decay; strong damping; variable exponent; wave; HYPERBOLIC-EQUATIONS; EXISTENCE; UNIQUENESS; BLOWUP;

D O I：

10.1002/mma.6254

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the following nonlinear wave equation with variable exponents: u(tt) - div(|vertical bar del u vertical bar(r(.)-2)del u) - Delta u(t) + vertical bar u(t)vertical bar(m(.)-2)u(t) = 0, in Omega x (0, T), where Omega is a bounded domain, T > 0, andm(.) and r(.) are continuous functions. We will establish several decay results depending on the range of the variable exponents m and r.

引用

页码：5114 / 5126

页数：13

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