Action of a scattering map on weighted Sobolev spaces in the plane

Authors

R. M. Brown, University of Kentucky
Katharine A. Ott, Bates CollegeFollow
P. A. Perry, University of Kentucky

Publication Title

Journal of Functional Analysis

Document Type

Article

Department or Program

Mathematics

Publication Date

2016

Keywords

Brascamp-Lieb forms, Davey-Stewartson equation, Inverse scattering, ∂--method

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 L² Sobolev spaces.

Comments

Original version is available from the publisher at: https://doi.org/10.1016/j.jfa.2016.03.019

Recommended Citation

Brown, R. M., Ott, K. A., & Perry, P. A. (2016). Action of a scattering map on weighted Sobolev spaces in the plane. Journal of Functional Analysis, 271(1), 85–106.