English

On a nonlocal non-linear inverse scattering problem

Analysis of PDEs 2026-03-30 v2

Abstract

In this article, we study the inverse scattering problem for the nonlinear fractional Helmholtz equation with cubic nonlinearity in three dimensions, where we recover a compactly supported potential from scattering amplitude.

Keywords

Cite

@article{arxiv.2603.22592,
  title  = {On a nonlocal non-linear inverse scattering problem},
  author = {Saumyajit Das and Susovan Pramanik},
  journal= {arXiv preprint arXiv:2603.22592},
  year   = {2026}
}

Comments

14 pages

R2 v1 2026-07-01T11:34:29.901Z