Action of a scattering map on weighted Sobolev spaces in the plane
R. M. Brown Katharine A. Ott P. A. Perry
01-01-2016
We consider a scattering map that arises in the ∂- approach to the scattering theory for the Davey-Stewartson II equation and show that the map is an invertible map between certain weighted L2 Sobolev..
We consider a scattering map that arises in the ∂- approach to the scattering theory for the Davey-Stewartson II equation and show that the map is an invertible map between certain weighted L2 Sobolev spaces.
