Global Analysis for Rough Solutions to the Davey‐Stewartson System

Han Yang, Xiaoming Fan and Shihui Zhu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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 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 new ingredient 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.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/578701

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:578701

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().