Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition

DOI10.1002/cpa.21649zbMath1375.35140arXiv1301.0426OpenAlexW1956801398MaRDI QIDQ5274872

Martin Dindoš, Jill Pipher, David J. Rule

Publication date: 6 July 2017

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0426

zbMATH Keywords

Dirichlet problemNeumann problemsecond order uniformly elliptic operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25)

Related Items

Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem, A change of variable for Dahlberg-Kenig-Pipher operators, The Green function with pole at infinity applied to the study of the elliptic measure, Carleson perturbations for the regularity problem, Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions, The regularity problem in domains with lower dimensional boundaries, Boundary value problems for second-order elliptic operators with complex coefficients, Boundary Korn inequality and Neumann problems in homogenization of systems of elasticity, Extrapolation for the \(L^p\) Dirichlet problem in Lipschitz domains, The dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions, Dirichlet and Neumann boundary values of solutions to higher order elliptic equations, Parabolic \(L^p\) Dirichlet boundary value problem and VMO-type time-varying domains, Critical perturbations for second-order elliptic operators. I: Square function bounds for layer potentials, Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients, The 𝐿^{𝑝} Dirichlet boundary problem for second order elliptic Systems with rough coefficients, The L^p Dirichlet and regularity problems for second order elliptic systems with application to the Lamé system

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