Decay for solutions of a nonlinear damped wave equation with variable-exponent nonlinearities

被引：37

作者：

Messaoudi, Salim A. ^{[1
]}

Al-Smail, Jamal H. ^{[1
]}

Talahmeh, Ala A. ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math & Stat, POB 5046, Dhahran 31261, Saudi Arabia

[2] Birzeit Univ, Dept Math, West Bank, Palestine

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 76卷 / 08期

关键词：

Wave equation; Variable exponent; Decay; LINEAR HYPERBOLIC-EQUATIONS; BLOW-UP; GLOBAL NONEXISTENCE; ASYMPTOTIC-BEHAVIOR; PARABOLIC EQUATIONS; EXISTENCE; T)-LAPLACIAN; P(X; SPACES;

D O I：

10.1016/j.camwa.2018.07.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following nonlinear wave equation with variable exponents: u(tt) - div(vertical bar del u vertical bar(r(.)-2)del u) + vertical bar u(t)vertical bar(m(.)-2)u(t) = 0. By using a lemma by Komornik, we prove the decay estimates for the solution under suitable assumptions on the variable exponents m, r and the initial data. We also give two numerical applications to illustrate our theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：1863 / 1875

页数：13

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