Self-similar solutions and semi-linear wave equations in Besov spaces

被引：35
|
作者：
Planchon, F [1 ]
机构：
[1] Univ Paris 06, Anal Numer Lab, URA CNRS 189, F-75252 Paris, France
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2000年 / 79卷 / 08期
关键词：
D O I：
10.1016/S0021-7824(00)00166-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the initial value problem for semi-linear wave equations is well-posed in the Besov space (B) over dot (Sp,infinity)(2) (R-n), where the nonlinearity is of type u(p), with p is an element of N and s(p) = n/2 - 2/p > 1/2. This allows to obtain self-similar solutions as well as to recover previous results under weaker smallness assumptions on the data. (C) 2000 Editions scientifiques et medicales Elsevier SAS.
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页码：809 / 820
页数：12
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