# Scattering for NLS with a sum of two repulsive potentials

## TL;DR

This paper proves scattering for a defocusing nonlinear Schrödinger equation with two repulsive potentials, extending scattering results to a trapped setting akin to the exterior of two convex obstacles.

## Contribution

It introduces a novel scattering result for NLS with two repulsive potentials having convex level surfaces, a setting previously less understood.

## Key findings

- Established scattering in a trapped setting with two convex obstacles
- Extended understanding of NLS behavior with complex potential configurations
- Demonstrated techniques applicable to similar trapped quantum systems

## 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.