Second-order regularity estimates for singular Schrödinger equations on convex domains

DOI10.1155/2014/216867zbMath1472.35115OpenAlexW1974483643WikidataQ59036318 ScholiaQ59036318MaRDI QIDQ1722364

Xiang Xing Tao

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/216867

zbMATH Keywords

Schrödinger equationsingular potential\(L^p\) integrability of the second-order derivatives of the solution

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)

Cites Work

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• $H^{p}$ spaces over open subsets of $R^{n}$
• L^p bounds on singular integrals in homogenization
• On the Neumann Problem for the Schrödinger Equations with Singular Potentials in Lipschitz Domains
• A Remark on Estimates for Uniformly Elliptic Operators on WeightedLp Spaces and Morrey Spaces
• On the regularity of the solution of the Poisson problem on a domain with boundary locally similar to the boundary of a convex open set

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