Variational inequality for quasilinear wave equations with nonlinear damping terms

被引：8
|
作者：
Park, JY [1 ]
Bae, JJ [1 ]
机构：
[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 08期
关键词：
existence of solution; quasilinear wave equation; energy identity; Galerkin method;
D O I：
10.1016/S0362-546X(00)00239-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A discussion on variational inequality for quasilinear wave equations with nonlinear damping terms was presented. The existence of the weak solution was investigated for the unilateral problem. It was assumed that ψ ∈ K1 and w ∈ K2, and by taking w = ψ(t)(w(t) - uε(t)) in equation and integrating it over (O,T), the resulting equations were obtained.
引用
收藏
页码：1065 / 1083
页数：19
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