Abstract
We study the global Cauchy problem associated to the Davey-Stewartson system in ${\mathbb{R}}^n,\ n=2,3$. Existence and uniqueness of the solution are established for small data in some weak $L^p$ space. We apply an interpolation theorem and the generalization of the Strichartz estimates for the Schrödinger equation derived in [9]. As a consequence we obtain self-similar solutions.
Citation
Vanessa Barros. "The Davey Stewartson system in weak $L^p$ spaces." Differential Integral Equations 25 (9/10) 883 - 898, September/October 2012. https://doi.org/10.57262/die/1356012373
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