A change of variable for Dahlberg-Kenig-Pipher operators

DOI10.1090/proc/15923zbMath1497.35156arXiv2106.13152OpenAlexW4206812803MaRDI QIDQ5097343

Joseph Feneuil

Publication date: 23 August 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13152

zbMATH Keywords

boundary value problemsCarleson perturbationsDahlberg-Kenig-Pipher operatorselliptic operators with rough coefficients

Mathematics Subject Classification ID

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

Related Items

Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries, Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions, The regularity problem in domains with lower dimensional boundaries

Cites Work

• Unnamed Item
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• Rectifiability of harmonic measure
• A new characterization of chord-arc domains
• Harmonic measure and arclength
• The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function
• The Dirichlet problem in non-smooth domains
• The theory of weights and the Dirichlet problem for elliptic equations
• Estimates of harmonic measure
• The Neumann problem for elliptic equations with non-smooth coefficients
• A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
• Regularity theory for solutions to second order elliptic operators with complex coefficients and the \(L^{p}\) Dirichlet problem
• Dahlberg's theorem in higher co-dimension
• Construction of a singular elliptic-harmonic measure
• The Neumann problem for elliptic equations with nonsmooth coefficients. II
• Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability
• The Dirichlet problem in domains with lower dimensional boundaries
• Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem
• Carleson perturbations of elliptic operators on domains with low dimensional boundaries
• A new elliptic measure on lower dimensional sets
• Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$
• Semi-Uniform Domains and the A∞ Property for Harmonic Measure
• The local regularity of solutions of degenerate elliptic equations
• Elliptic Theory for Sets with Higher Co-dimensional Boundaries
• Boundary Value Problems for Second‐Order Elliptic Operators Satisfying a Carleson Condition
• Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators
• The Dirichlet problem for elliptic equations with drift terms