Scattering for NLS with a sum of two repulsive potentials

Abstract

We prove the scattering for a defocusing nonlinear Schrödinger 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.

Final version, to appear in Annales de l'Institut Fourier. arXiv admin note: text overlap with arXiv:1609.01993