Noncontinuous data boundary value problems for Schrödinger equation in Lipschitz domains

DOI10.1007/s11464-006-0030-xzbMath1222.35070OpenAlexW1593925035MaRDI QIDQ719934

Xiang Xing Tao

Publication date: 12 October 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-006-0030-x

zbMATH Keywords

potential theorySchrödinger equationLipschitz domainnoncontinuous data boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Potential techniques for boundary value problems on \(C^1\)-domains
• Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• The Neumann problem on Lipschitz domains in Hardy spaces of order less than one
• The uncertainty principle
• Cauchy integrals on Lipschitz curves and related operators
• On the Neumann Problem for the Schrödinger Equations with Singular Potentials in Lipschitz Domains
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