Global Well-Posedness for the Defocussing Davey-Stewartson II Equation in $H^{1,1}(R^2)$

Details Global Well-Posedness for the Defocussing Davey-Stewartson II Equation in $H^{1,1}(R^2)$ Global Well-Posedness for the Defocussing Davey-Stewartson II Equation in $H^{1,1}(R^2)$

2011-10-25

arxiv.org/abs/1110.5589v1

Mathematics

Analysis of PDEs

Scientific paper

We show that the inverse scattering map for the linear system associated with
the defocussing Davey-Stewartson II equation is locally Lipschitz continuous
with locally Lipschitz continuous inverse on $H^{1,1}(R^2)$. From the inverse
scattering method we then obtain global well-posedness for the defocussing
Davey-Stewartson II equation.

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