Large time behavior of solutions for the nonlinear wave equation with viscosity in odd dimensions

被引：3
|
作者：
Xu Hongmei [1 ]
Wang Weike [2 ]
机构：
[1] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期
关键词：
Nonlinear wave equation with viscosity; Multi odd dimension; Pointwise estimate; P DECAY PROBLEM;
D O I：
10.1016/j.na.2011.08.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the dissipation of solutions of the Cauchy problem for the nonlinear dissipative wave equation in odd multi-spatial dimensions. Pointwise estimates of the time-asymptotic shape of the solutions are obtained and shown to exhibit the generalized Huygens principle. Our approach is based on the detailed analysis of the Green function of the linearized system. This is used to study the coupling of nonlinear diffusion waves. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：543 / 549
页数：7
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