The regularity problems with data in Hardy-Sobolev spaces for singular Schrödinger equation in Lipschitz domains

DOI10.1007/s11118-011-9233-1zbMath1238.35022OpenAlexW2025302572MaRDI QIDQ411537

Xiang Xing Tao

Publication date: 4 April 2012

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-011-9233-1

zbMATH Keywords

Hardy-Sobolev spaceNeumann problemlayer potentialLipschitz domainregularity problemsingular Schrödinger equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (4)

Lp Neumann problem for some Schrödinger equations in (semi-)convex domains ⋮ Second-order regularity estimates for singular Schrödinger equations on convex domains ⋮ Necessary and sufficient conditions for the solvability of the Neumann and the regularity problems in \(L^p\) of some Schrödinger equations on Lipschitz domains ⋮ Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials

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