A parabolic free boundary problem with Bernoulli type condition on the free boundary

DOI10.1515/CRELLE.2009.016zbMath1171.35128arXivmath/0608746MaRDI QIDQ3612193

John Andersson, Georg Sebastian Weiss

Publication date: 3 March 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608746

zbMATH Keywords

parabolic free boundary problemOne-sided flatnessparabolic Hölder classscaling discrepancies

Mathematics Subject Classification ID

Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items (9)

A free boundary problem for the parabolic Poisson kernel ⋮ An inhomogeneous singular perturbation problem for the \(p(x)\)-Laplacian ⋮ Bernoulli type free boundary problems and water waves ⋮ Square function estimates for the evolutionary \(p\)-Laplace equation ⋮ Parabolic NTA domains in ℝ² ⋮ A geometric approach to generalized Stokes conjectures ⋮ On an inverse type problem for the heat equation in parabolic regular graph domains ⋮ Regularity of the free boundary for the two-phase Bernoulli problem ⋮ Monotonicity formulas for parabolic free boundary problems on cones

Cites Work

• Caloric measure in parabolic flat domains
• A parabolic free boundary problem with double pinning
• Free boundary regularity for harmonic measures and Poisson kernels
• Asymptotically self‐similar blow‐up of semilinear heat equations
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
• Partial regularity for weak solutions of an elliptic free boundary problem

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