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arXiv · 2408.14269

A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open Problem

Avy Soffer
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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.

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Avy Soffer. 2024-08-26. A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open Problem. https://arxiv.org/abs/2408.14269

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