Regularity of the free boundary for a Bernoulli-type parabolic problem with variable coefficients
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Publication:329799
DOI10.1016/j.na.2016.08.013zbMath1364.35442arXiv1512.00917OpenAlexW2963855354MaRDI QIDQ329799
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/1512.00917
Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Second-order parabolic equations (35K10) Viscosity solutions to PDEs (35D40)
Cites Work
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- Regularity of solutions to a parabolic free boundary problem with variable coefficients
- 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
- Two-phase problems for linear elliptic operators with variable coefficients: Lipschitz free boundaries are \(C^{1,\gamma}\)
- 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
- Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
- Two‐Phase Free Boundary Problems for Parabolic Operators: Smoothness of the Front
