A weak reverse Hölder inequality for caloric measure

DOI10.1007/s12220-019-00212-4zbMath1436.42028arXiv1809.10510OpenAlexW2963955934MaRDI QIDQ1985321

Alyssa Genschaw, Steven Hofmann

Publication date: 7 April 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10510

zbMATH Keywords

Dirichlet problemheat equationreverse Hölder inequalitycaloric measuredivergence form parabolic equationsAhlfors-David regularityparabolic measureweak-\(A_\infty \)

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Harmonic analysis and PDEs (42B37)

Related Items (6)

BMO solvability and absolute continuity of caloric measure ⋮ Corona decompositions for parabolic uniformly rectifiable sets ⋮ Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets ⋮ Blow-ups of caloric measure in time varying domains and applications to two-phase problems ⋮ On big pieces approximations of parabolic hypersurfaces ⋮ Correction to: ``A weak reverse Hölder inequality for caloric measure

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