Elliptic Theory for Sets with Higher Co-dimensional Boundaries

DOI10.1090/memo/1346zbMath1483.35099arXiv1702.05503OpenAlexW2618373286MaRDI QIDQ5021066

Guy David, Svitlana Mayboroda, Joseph Feneuil

Publication date: 11 January 2022

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

Full work available at URL: https://arxiv.org/abs/1702.05503

zbMATH Keywords

harmonic measuredegenerate elliptic operatorsboundary of co-dimension higher than 1

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

Related Items

Generalized Carleson perturbations of elliptic operators and applications ⋮ Absolute continuity of the harmonic measure on low dimensional rectifiable sets ⋮ Carleson estimates for the Green function on domains with lower dimensional boundaries ⋮ A change of variable for Dahlberg-Kenig-Pipher operators ⋮ Cantor sets with absolutely continuous harmonic measure ⋮ The Green function with pole at infinity applied to the study of the elliptic measure ⋮ Carleson perturbations for the regularity problem ⋮ A Green function characterization of uniformly rectifiable sets of any codimension ⋮ On an obstacle to the converse of Dahlberg's theorem in high codimensions ⋮ The regularity problem in domains with lower dimensional boundaries ⋮ Green function estimates on complements of low-dimensional uniformly rectifiable sets ⋮ Dahlberg's theorem in higher co-dimension ⋮ Good elliptic operators on Cantor sets ⋮ A new elliptic measure on lower dimensional sets ⋮ Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions

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