The regular free boundary in the thin obstacle problem for degenerate parabolic equations

DOI10.1090/spmj/1656zbMath1469.35072arXiv1906.06885OpenAlexW3161070797MaRDI QIDQ4989683

Donatella Danielli, Nicola Garofalo, Agnid Banerjee, Arshak Petrosyan

Publication date: 26 May 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06885

zbMATH Keywords

fractional heat equationepiperimetric inequalityWeiss-type monotonicity formulaproblems with unilateral constraintsSignorini complementary conditionstruncated Almgren type frequency formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11)

Related Items (8)

\(H^{1+ \alpha}\) estimates for the fully nonlinear parabolic thin obstacle problem ⋮ On the space-like analyticity in the extension problem for nonlocal parabolic equations ⋮ The thin obstacle problem for some variable coefficient degenerate elliptic operators ⋮ Borderline gradient continuity for fractional heat type operators ⋮ Regularity of almost minimizers for the parabolic thin obstacle problem ⋮ On the existence and Hölder regularity of solutions to some nonlinear Cauchy-Neumann problems ⋮ Quantitative uniqueness for fractional heat type operators ⋮ An epiperimetric inequality approach to the parabolic Signorini problem

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