Scattering for NLS with a sum of two repulsive potentials

David Lafontaine

doi:10.5802/AIF.3385

Scattering for NLS with a sum of two repulsive potentials

David Lafontaine

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (SciVal)

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.

Original language	English
Pages (from-to)	1847-1869
Number of pages	23
Journal	Annales de l'institut Fourier
Volume	70
Issue number	5
DOIs	https://doi.org/10.5802/AIF.3385
Publication status	Published - 15 Apr 2021

Keywords

Concentration-compactness/rigidity
Morawetz estimates
Nonlinear Schrödinger equation
Scattering
Trapped trajectories

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.5802/AIF.3385

https://arxiv.org/abs/1812.04968Licence: Unspecified

Cite this

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title = "Scattering for NLS with a sum of two repulsive potentials",

abstract = " We prove the scattering for a defocusing nonlinear Schr{\"o}dinger 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.",

keywords = "Concentration-compactness/rigidity, Morawetz estimates, Nonlinear Schr{\"o}dinger equation, Scattering, Trapped trajectories",

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year = "2021",

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AB - 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.

KW - Concentration-compactness/rigidity

KW - Morawetz estimates

KW - Nonlinear Schrödinger equation

KW - Scattering

KW - Trapped trajectories

UR - https://www.scopus.com/pages/publications/85107750063

U2 - 10.5802/AIF.3385

DO - 10.5802/AIF.3385

M3 - Article

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JO - Annales de l'institut Fourier

JF - Annales de l'institut Fourier

IS - 5

ER -

Scattering for NLS with a sum of two repulsive potentials

Abstract

Keywords

ASJC Scopus subject areas

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