Scattering for NLS with a sum of two repulsive potentials
Analysis of PDEs
2019-07-15 v3
Abstract
We prove the scattering for a defocusing nonlinear Schr\"odinger equation with a sum of two repulsive potentials with strictly convex level surfaces, thus providing a scattering result in a trapped setting similar to the exterior of two strictly convex obstacles.
Cite
@article{arxiv.1812.04968,
title = {Scattering for NLS with a sum of two repulsive potentials},
author = {David Lafontaine},
journal= {arXiv preprint arXiv:1812.04968},
year = {2019}
}
Comments
Final version, to appear in Annales de l'Institut Fourier. arXiv admin note: text overlap with arXiv:1609.01993