Scattering for NLS with a sum of two repulsive potentials

DOI10.5802/aif.3385zbMath1468.35186arXiv1812.04968OpenAlexW2969961713MaRDI QIDQ2027752

David Lafontaine

Publication date: 28 May 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04968

zbMATH Keywords

scatteringnonlinear Schrödinger equationMorawetz estimatestrapped trajectoriesconcentration-compactness/rigidity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Scattering for critical radial Neumann waves outside a ball

Cites Work

• Scattering for a nonlinear Schrödinger equation with a potential
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• Dispersive estimates for Schrödinger operators in dimensions one and three
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• Double scattering channels for 1\(D\) NLS in the energy space and its generalization to higher dimensions
• Scattering for solutions of NLS in the exterior of a 2D star-shaped obstacle
• Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
• Scattering for NLS with a delta potential
• On semi-classical limit of nonlinear quantum scattering
• Scattering for NLS with a potential on the line
• Bilinear virial identities and applications
• Endpoint Strichartz estimates
• INHOMOGENEOUS STRICHARTZ ESTIMATES

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