偶数维空间带粘性项的非线性波动方程解的衰减估计  

Decay Estimate of Solutions to the Nonlinear Wave Equation with Viscosity in Even Dimensions

作　　者：徐红梅[1] 张翠[1] 

机构地区：[1]河海大学理学院,南京210098

出　　处：《数学年刊（A辑）》2012年第1期65-76,共12页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11071162);中央高校基本科研业务费专项资金(No.2009B26814)资助的项目

摘　　要：基于对线性化方程格林函数的详细分析,研究了偶数维空间带粘性项的非线性波动方程解的大时间状态.得到了解的最佳衰减估计,与惠更斯原理相符.This paper deals with the large time behavior of solutions to the nonlinear wave equation with viscosity in even dimensions. The study is based on the detailed analysis of the Green function of the linearized equation. Optimal decay estimate is obtained, which shows that the phenomenon of decay of solution coincides with Huygens principle.

关 键 词：带粘性项的非线性波动方程 偶数维空间 逐点估计 

分 类 号：O175[理学—数学]