English

Scattering for NLS with a delta potential

Analysis of PDEs 2015-04-13 v1 Mathematical Physics math.MP

Abstract

We prove H1H^1 scattering for defocusing NLS with a delta potential and mass-supercritical nonlinearity, hence extending in an inhomogeneous setting the classical 1-D scattering results first proved by Nakanishi in the translation invariant case.

Keywords

Cite

@article{arxiv.1504.02640,
  title  = {Scattering for NLS with a delta potential},
  author = {Valeria Banica and Nicola Visciglia},
  journal= {arXiv preprint arXiv:1504.02640},
  year   = {2015}
}
R2 v1 2026-06-22T09:14:06.301Z