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arXiv · 0909.0492

Mass Concentration for the Davey-Stewartson System

Geordie Richards
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Abstract

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 Schrödinger equation. We also prove a mass concentration result for $L^{2}$-solutions.

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Geordie Richards. 2009-09-02. Mass Concentration for the Davey-Stewartson System. https://arxiv.org/abs/0909.0492

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