Mass Concentration for the Davey-Stewartson System

Details Mass Concentration for the Davey-Stewartson System Mass Concentration for the Davey-Stewartson System

2009-09-02

arxiv.org/abs/0909.0492v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

This paper is concerned with the analysis of blow-up solutions to the elliptic-elliptic Davey-Stewartson system, which appears in the description of the evolution of surface water waves. We prove a mass concentration property for $H^{1}$-solutions, analogous to the one known for the $L^{2}$-critical nonlinear Schr\"{o}dinger equation. We also prove a mass concentration result for $L^{2}$-solutions.

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