A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open Problem
Mathematical Physics
2024-08-27 v1 math.MP
Pattern Formation and Solitons
Quantum Physics
Abstract
I present a review of the recent advancements in scattering theory, which provides a unified approach to studying dispersive and hyperbolic equations with general interaction terms and data. These equations encompass time-dependent potentials, as well as NLS, NLKG, and NLW equations. Additionally, I discuss a series of open problems, along with their significance and potential future applications in scattering and inverse scattering.
Keywords
Cite
@article{arxiv.2408.14269,
title = {A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open Problem},
author = {Avy Soffer},
journal= {arXiv preprint arXiv:2408.14269},
year = {2024}
}
Comments
73 pages, to appear