Parabolic boundary Harnack principles in domains with thin Lipschitz complement

DOI10.2140/apde.2014.7.1421zbMath1304.35374arXiv1401.7599OpenAlexW3105355448MaRDI QIDQ462923

Wenhui Shi, Arshak Petrosyan

Publication date: 22 October 2014

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7599

zbMATH Keywords

Carleson estimatebackward boundary Harnack principleparabolic Signorini problemregularity of free boundarythin free boundaries

Mathematics Subject Classification ID

Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35)

Related Items (4)

Higher regularity of the free boundary in the obstacle problem for the fractional heat operator ⋮ Optimal Regularity and the Free Boundaryin the Parabolic Signorini Problem ⋮ Higher regularity of the free boundary in the parabolic Signorini problem ⋮ An epiperimetric inequality approach to the parabolic Signorini problem

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