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.

引用

页数：22

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