On the boundary value problem for the Schrödinger equation: compatibility conditions and global existence

DOI10.2140/apde.2015.8.1113zbMath1330.35392OpenAlexW1446638526MaRDI QIDQ500390

Corentin Audiard

Publication date: 2 October 2015

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/apde.2015.8.1113

zbMATH Keywords

boundary value problemsSchrödinger equationglobal well-posednessboundary data with sharp regularity

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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