Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications

DOI10.5802/aif.3238zbMath1421.35304arXiv1702.06792OpenAlexW2590082058MaRDI QIDQ2421906

Corentin Audiard

Publication date: 18 June 2019

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

Full work available at URL: https://arxiv.org/abs/1702.06792

zbMATH Keywords

boundary conditionscompatibility conditionSchrödinger equationdispersive estimatesKreiss-Lopatinskii

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Time-dependent Schrödinger equations and Dirac equations (35Q41) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (7)

The interior-boundary Strichartz estimate for the Schrödinger equation on the half-line revisited ⋮ Stochastic nonlinear Schrödinger equation on half-line with boundary noise ⋮ On the sharp regularity of solutions to hyperbolic boundary value problems ⋮ Critical exponent for global existence of solutions to the Schrödinger equation with a nonlinear boundary condition ⋮ Well-posedness of the nonlinear Schrödinger equation on the half-plane ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line ⋮ Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

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