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Scattering for NLS with a sum of two repulsive potentials

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.Comment: Final version, to appear in Annales de l'Institut Fourier. arXiv admin note: text overlap with arXiv:1609.0199

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