Long-range scattering

Avy Soffer; Gavin Stewart; Xiaoxu Wu

Long-range scattering

Analysis of PDEs 2026-06-29 v1

Authors: Avy Soffer , Gavin Stewart , Xiaoxu Wu

Abstract

We study the scattering problem for a long range potential, which is time dependent. We prove the existence and completeness of the scattering wave operators, and find some properties of the weakly localized, non-scattering part of the solution. The method we use follows recent methods introduced and applied to short range systems.

Cite

@article{arxiv.2606.30283,
  title  = {Long-range scattering},
  author = {Avy Soffer and Gavin Stewart and Xiaoxu Wu},
  journal= {arXiv preprint arXiv:2606.30283},
  year   = {2026}
}

Comments

35 pages