Nicolas Godet
Published 2012-09-05, updated 2013-05-31Version 2
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 $H^s, 1/2 < s < 1$. In this paper, we prove a lower bound on the blow up rate for these regularities.
The Well-posedness and Blow-up rate of Solution for the Generalized Zakharov equations with Magnetic field in R^d
Class of hypocomplex structures on the two dimensional torus
Upper and lower bounds for normal derivatives of spectral clusters of Dirichlet Laplacian
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