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.
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页码：1863 / 1875
页数：13
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