Scattering and self-similar solutions for the nonlinear wave equation

被引:1
作者
Hidano, K [1 ]
机构
[1] Tokyo Metropolitan Univ, Dept Math, Hachioji, Tokyo 1920397, Japan
关键词
semi-linear wave equation; scattering; self-similar solution;
D O I
10.1016/S0362-546X(01)00373-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the long-time behavior of small solutions to the semi-linear wave equation squareu + lambda \u\(p-1)u = 0 from the point of view of scattering and self-similarity.
引用
收藏
页码:2507 / 2518
页数:12
相关论文
共 28 条
[1]   Asymptotically self-similar global solutions of the nonlinear Schrodinger and heat equations [J].
Cazenave, T ;
Weissler, FB .
MATHEMATISCHE ZEITSCHRIFT, 1998, 228 (01) :83-120
[2]   Weighted Strichartz estimates and global existence for semilinear wave equations [J].
Georgiev, V ;
Lindblad, H ;
Sogge, CD .
AMERICAN JOURNAL OF MATHEMATICS, 1997, 119 (06) :1291-1319
[3]   THE GLOBAL CAUCHY-PROBLEM FOR THE NON-LINEAR KLEIN-GORDON EQUATION [J].
GINIBRE, J ;
VELO, G .
MATHEMATISCHE ZEITSCHRIFT, 1985, 189 (04) :487-505
[4]   Nonlinear small data scattering for the wave equation in R4+1 [J].
Hidano, K .
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1998, 50 (02) :253-292
[5]  
HIDANO K, IN PRESS DIFFERENTIA
[6]  
HIDANO K, UNPUB SCATTERING PRO
[7]  
Hidano K., 2000, FUNKC EKVACIOJ-SER I, V43, P559