On the singular set of the parabolic obstacle problem

DOI10.1016/j.jde.2006.05.013zbMath1121.35145OpenAlexW2121367034MaRDI QIDQ858698

Adrien Blanchet

Publication date: 11 January 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.05.013

zbMATH Keywords

monotonicitysingular pointsparabolic obstacle problem

Mathematics Subject Classification ID

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

Related Items (11)

Functional a posteriori error estimates for the parabolic obstacle problem ⋮ From branching singularities in minimal surfaces to non-smoothness points in ice-water interfaces ⋮ Regularity theory for fully nonlinear parabolic obstacle problems ⋮ The singular set in the Stefan problem ⋮ \(C^{1,1}\) regularity for degenerate elliptic obstacle problems ⋮ Regularity and asymptotic behavior of nonlinear Stefan problems ⋮ Pointwise regularity of the free boundary for the parabolic obstacle problem ⋮ Regularity of a Parabolic Free Boundary Problem with Hölder Continuous Coefficients ⋮ Unnamed Item ⋮ The geometric structure of interfaces and free boundaries ⋮ Optimal regularity for the obstacle problem for the \(p\)-Laplacian

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• Models of phase transitions
• Self-Similar Blow-Up and Hausdorff Dimension Estimates for a Class of Parabolic Free Boundary Problems
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