The focusing NLS on exterior domains in three dimensions

DOI10.3934/cpaa.2017112zbMath1378.35287OpenAlexW2748119649MaRDI QIDQ2408395

Kai Yang

Publication date: 12 October 2017

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2017112

zbMATH Keywords

scatteringexterior domainDirichlet Laplacianground state solution

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (6)

Scattering for 3D cubic focusing NLS on the domain outside a convex obstacle revisited ⋮ Scattering of the focusing energy-critical NLS with inverse square potential in the radial case ⋮ Scattering of the focusing energy-critical NLS with inverse square potential ⋮ Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the \(L^2\)-supercritical case ⋮ Scattering of the energy-critical NLS with inverse square potential ⋮ Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

Cites Work

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