A lower bound on the blow-up rate for the Davey-Stewartson system on the torus
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 Hs, 1/2 < s < 1. In this paper, we prove a lower bound on the blow up rate for these regularities.
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