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March/April 2011 Mass concentration for the Davey-Stewartson system
Geordie Richards
Differential Integral Equations 24(3/4): 261-280 (March/April 2011). DOI: 10.57262/die/1356019033


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. "Mass concentration for the Davey-Stewartson system." Differential Integral Equations 24 (3/4) 261 - 280, March/April 2011.


Published: March/April 2011
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35520
MathSciNet: MR2757460
Digital Object Identifier: 10.57262/die/1356019033

Primary: 35Q55

Rights: Copyright © 2011 Khayyam Publishing, Inc.

Vol.24 • No. 3/4 • March/April 2011
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