Estimates for the scattering map associated to a two-dimensional first order system
Analysis of PDEs
2009-11-07 v2
Abstract
We consider the scattering transform for the first order system in the plane, (D-Q) \psi =0 where D is the 2x2 diagonal matrix differential operator whose diagonal entries are d-bar and d and Q is a 2x2 off-diagonal matrix. We show that the scattering map is Lipschitz continuous on a neighborhood of zero in L^2.
Keywords
Cite
@article{arxiv.math/0106134,
title = {Estimates for the scattering map associated to a two-dimensional first order system},
author = {Russell M. Brown},
journal= {arXiv preprint arXiv:math/0106134},
year = {2009}
}
Comments
13 pages, 14 references, no figures v2. corrects typoes and improves the exposition