Inverse scattering and global well-posedness in one and two space dimensions
Analysis of PDEs
2019-05-08 v2
Abstract
These notes are a considerably revised and expanded version of expository lectures given at the Fields Institute Workshop on "Nonlinear Dispersive Partial Differential Equations and Inverse Scattering" in August 2017. We give a complete and self-contained treatment of inverse scattering for the defocussing cubic NLS in one-dimension, following the 2003 paper of Deift and Zhou, and the defocussing Davey-Stewartson equation in two space dimensions, following the work of Perry and more recent work of Nachman, Regev, and Tataru.
Keywords
Cite
@article{arxiv.1902.01009,
title = {Inverse scattering and global well-posedness in one and two space dimensions},
author = {Peter A. Perry},
journal= {arXiv preprint arXiv:1902.01009},
year = {2019}
}
Comments
72 pages; updated per referee comments