The energy decay problem for wave equations with nonlinear dissipative terms in Rn

被引：27

作者：

Todorova, Grozdena ^{[1
]}

Yordanov, Borislav ^{[1
]}

机构：

[1] Univ Tennessee, Knoxville, TN 37996 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2007年 / 56卷 / 01期

关键词：

wave equation; nonlinear dissipation; decay rates;

D O I：

10.1512/iumj.2007.56.2963

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behavior of energy for wave equations with nonlinear damping g(u(t)) = vertical bar u(t)vertical bar(m-1) u(t) in R-n (n >= 3) as time t -> infinity. The main result shows a polynomial decay rate of energy under the condition 1 < m <= (n + 2)/(n + 1). Previously, only logarithmic decay rates were found.

引用

页码：389 / 416

页数：28

共 14 条

[1] Fine asymptotics for fast diffusion equations [J].