Open AccessGlobal Analysis for Rough Solutions to the Davey-Stewartson System
Author(s) -
Han Yang,
Xiaoming Fan,
Shihui Zhu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/578701
Subject(s) - algorithm , computer science , mathematics
The global well-posedness of rough solutions to the Cauchy problem for the Davey-Stewartson system is obtained. It reads that ifthe initial data is in Hs with s > 2/5, then there exists a global solution in time, and the Hs norm of the solution obeys polynomial-in-time bounds. The newingredient in this paper is an interaction Morawetz estimate, which generates a new space-time Lt,x4 estimate for nonlinear equation with the relatively general defocusing power nonlinearity
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