Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients

DOI10.1512/iumj.2013.62.4837zbMath1286.35275arXiv1108.3161OpenAlexW2949574635MaRDI QIDQ5402179

Erik Lindgren, Régis Monneau

Publication date: 6 March 2014

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3161

zbMATH Keywords

heat equationfree boundaryobstacle problemDini conditionblow-up argumentspointwise regularity

Mathematics Subject Classification ID

Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items (7)

Higher order parabolic boundary Harnack inequality in \(C^1\) and \(C^{k, \alpha}\) domains ⋮ Unnamed Item ⋮ Parabolic equations with exponential nonlinearity and measure data ⋮ Existence of solutions to a diffusive shallow medium equation ⋮ Liouville type results for a class of quasilinear parabolic problems ⋮ Optimal regularity for the obstacle problem for the \(p\)-Laplacian ⋮ Pointwise estimates for degenerate Kolmogorov equations with \(L^p\)-source term

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