A lower bound on the blow-up rate for the Davey–Stewartson system on the torus
Nicolas Godet
University of Cergy-Pontoise, Department of Mathematics, CNRS, UMR 8088, F-95000 Cergy-Pontoise, France
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Abstract
We consider the hyperbolic–elliptic version of the Davey–Stewartson system with cubic nonlinearity posed on the two-dimensional torus. A natural setting for studying blow-up solutions for this equation takes place in , . In this paper, we prove a lower bound on the blow-up rate for these regularities.
Cite this article
Nicolas Godet, A lower bound on the blow-up rate for the Davey–Stewartson system on the torus. Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), no. 4, pp. 691–703
DOI 10.1016/J.ANIHPC.2012.12.001