Action of a scattering map on weighted Sobolev spaces in the plane
Analysis of PDEs
2016-04-08 v2
Abstract
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 Sobolev spaces.
Keywords
Cite
@article{arxiv.1501.04669,
title = {Action of a scattering map on weighted Sobolev spaces in the plane},
author = {R. M. Brown and K. A. Ott and P. A. Perry},
journal= {arXiv preprint arXiv:1501.04669},
year = {2016}
}
Comments
The appendix is by R.M. Brown and N. Serpico. Version 2--minor corrections