Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622625 | Journal of Mathematical Analysis and Applications | 2007 | 26 Pages |
Abstract
We study the nonlinear damped wave equation(0.1){utt+utâÎu=â|u|Ïu,xâRn,t>0,u(0,x)=u0(x),ut(0,x)=u1(x),xâRn, in the critical case of Ï=2n. Our aim is to prove the large time asymptotic formulas for solutions of the Cauchy problem (0.1) without any restriction on the size of the initial data and on the spatial dimension.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin,