Decay Rate of Quasilinear Wave Equation with Viscosity  

作　　者：Yu-ming QIN Xin LIU Shu-xian DENG 

机构地区：[1]Department of Applied Mathematics,College of Sciences,Donghua University,Shanghai 201620,China [2]College of Information Sciences and Technology,Donghua University,Shanghai 201620,China

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第3期591-596,共6页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10571024, No. 10871040)

摘　　要：This paper is concerned with the decay rate of solutions for a quasilinear wave equation with viscosity. We use a so-called energy perturbation method to establish decay rate of solutions in terms of energy norm for a class of nonlinear functions. With the help of a comparison lemma of differential inequalities, we establish a relationship between decay rate of solutions and f.This paper is concerned with the decay rate of solutions for a quasilinear wave equation with viscosity. We use a so-called energy perturbation method to establish decay rate of solutions in terms of energy norm for a class of nonlinear functions. With the help of a comparison lemma of differential inequalities, we establish a relationship between decay rate of solutions and f.

关 键 词：decay rate energy inequality quasilinear wave equation 

分 类 号：O175.29[理学—数学] TP13[理学—基础数学]