Global Analysis for Rough Solutions to the Davey-Stewartson System

被引：0
|
作者：
Yang, Han [2 ]
Fan, Xiaoming [2 ]
Zhu, Shihui [1 ]
机构：
[1] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Peoples R China
[2] SW Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
NONLINEAR SCHRODINGER-EQUATION; WELL-POSEDNESS; MASS CONCENTRATION; CAUCHY-PROBLEM; EXISTENCE; WAVE; SCATTERING; PACKETS; DECAY;
D O I：
10.1155/2012/578701
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global well-posedness of rough solutions to the Cauchy problem for the Davey-Stewartson system is obtained. It reads that if the initial data is in H-s with s > 2/5, then there exists a global solution in time, and the H-s norm of the solution obeys polynomial-in-time bounds. The new ingredient in this paper is an interaction Morawetz estimate, which generates a new space-time L-t,x(4) estimate for nonlinear equation with the relatively general defocusing power nonlinearity.
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页数：22
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