The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions

DOI10.1080/03605302.2020.1845204zbMath1467.35130arXiv2003.10980OpenAlexW3104284815MaRDI QIDQ4994924

Zongyuan Li, Hongjie Dong

Publication date: 22 June 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10980

zbMATH Keywords

inhomogeneous boundary conditionssecond-order elliptic equationsReifenberg flat domainsmixed Dirichlet-conormal boundary value problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators ⋮ The Dirichlet-conormal problem for the heat equation with inhomogeneous boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains
• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• Harmonic measure on locally flat domains
• The mixed problem for the Laplacian in Lipschitz domains
• Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain
• The \(L^{p}\) boundary value problems on Lipschitz domains
• Regularization of mixed second-order elliptic problems
• The mixed problem in Lipschitz domains with general decompositions of the boundary
• Reifenberg parameterizations for sets with holes
• The Poisson problem with mixed boundary conditions in Sobolev and Besov spaces in non-smooth domains
• The Neumann problem on Lipschitz domains
• The mixed problem for laplace's equation in a class of lipschitz domains
• Regularity and perturbation results for mixed second order elliptic problems
• The conormal derivative problem for higher order elliptic systems with irregular coefficients
• Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition
• On the extension property of Reifenberg-flat domains

This page was built for publication: The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions