The Focusing Cubic NLS on Exterior Domains in Three Dimensions

DOI10.1093/amrx/abv012zbMath1345.35102arXiv1501.05062OpenAlexW2964133670MaRDI QIDQ2800168

Monica Visan, Rowan Killip, Xiaoyi Zhang

Publication date: 15 April 2016

Published in: Applied Mathematics Research eXpress (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05062

zbMATH Keywords

scatteringnonlinear Schrödinger equationglobal existence

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Scattering for 3D cubic focusing NLS on the domain outside a convex obstacle revisited ⋮ Scattering below the ground state for the intercritical non-radial inhomogeneous NLS ⋮ The focusing NLS on exterior domains in three dimensions ⋮ Scattering of the focusing energy-critical NLS with inverse square potential ⋮ Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation ⋮ Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the \(L^2\)-supercritical case ⋮ The energy-critical nonlinear wave equation with an inverse-square potential ⋮ Scattering of the energy-critical NLS with inverse square potential ⋮ Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle

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