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