On 2D nonlinear Schrödinger equation on non-trapping exterior domains

DOI10.4171/RMI/849zbMath1330.35415arXiv1304.7628MaRDI QIDQ748340

Farah Abou Shakra

Publication date: 20 October 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7628

zbMATH Keywords

scatteringSchrödinger equationglobal existencealmost star-shapedpower greater than quartic

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

Asymptotics of wave models for non star-shaped geometries ⋮ Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the \(L^2\)-supercritical case

Cites Work

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