Regularity of solutions to a parabolic free boundary problem with variable coefficients
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Publication:329798
DOI10.1016/j.na.2016.08.015zbMath1364.35441arXiv1512.00915OpenAlexW2964292543MaRDI QIDQ329798
Publication date: 21 October 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.00915
Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Second-order parabolic equations (35K10) Viscosity solutions to PDEs (35D40)
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Cites Work
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- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- Regularity of the free boundary in parabolic phase-transition problems
- Regularity of the solution and of the free boundary for free boundary problems arising in combustion theory
- Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems
- Regularity of the Solutions for Parabolic Two-Phase Free Boundary Problems
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- Uniform estimates and limits for a two phase parabolic singular perturbation problem
- A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
- Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem
- Two‐Phase Free Boundary Problems for Parabolic Operators: Smoothness of the Front
