THE DAVEY STEWARTSON SYSTEM IN WEAK LP SPACES

被引：0
|
作者：
Barros, Vanessa [1 ]
机构：
[1] Univ Fed Alagoas, Inst Matemat, BR-57072090 Maceio, Alagoas, Brazil
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2012年 / 25卷 / 9-10期
关键词：
SELF-SIMILAR SOLUTIONS; NONLINEAR SCHRODINGER-EQUATION; SIMILAR GLOBAL-SOLUTIONS; INITIAL-VALUE PROBLEM; LOCAL EXISTENCE; TIME; PACKETS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global Cauchy problem associated to the Davey-Stewartson system in R-n, n = 2, 3. Existence and uniqueness of the solution are established for small data in some weak L-P space. We apply an interpolation theorem and the generalization of the Strichartz estimates for the Schrodinger equation derived in [9]. As a consequence we obtain self-similar solutions.
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页码：883 / 898
页数：16
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