Two‐Phase Free Boundary Problems for Parabolic Operators: Smoothness of the Front

DOI10.1002/cpa.21490zbMath1292.35340OpenAlexW2095161424MaRDI QIDQ5746480

Sandro Salsa, Fausto Ferrari

Publication date: 18 February 2014

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11311/803726

zbMATH Keywords

viscosity solutionsmoothnessLipschitz regularityparabolic operatorstwo-phase free boundary problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Second-order parabolic equations (35K10) Viscosity solutions to PDEs (35D40)

Related Items (4)

Regularity of solutions to a parabolic free boundary problem with variable coefficients ⋮ Regularity of the free boundary for a Bernoulli-type parabolic problem with variable coefficients ⋮ Foreword to the special issue ``Contemporary PDEs between theory and modeling ⋮ Volume of the set of locally diagonalizable bipartite states

Cites Work

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• On the uniqueness of a solution of a two-phase free boundary problem
• Second order parabolic equations in nonvariational form: Boundary Harnack principle and comparison theorems for nonnegative solutions
• Regularity of the free boundary in parabolic phase-transition problems
• Behavior near the boundary of positive solutions of second order parabolic equations
• 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
• Existence of analytic solutions for the classical Stefan problem
• Free boundary regularity in Stefan type problems
• Linear and quasilinear elliptic equations
• Regularity of the free boundary in two-phase problems for linear elliptic operators
• Viscosity Solutions for the Two-Phase Stefan Problem
• Green's function, caloric measure and Fatou theorem for nondivergence parabolic equations in non cylindrical domains
• Regularity of the Solutions for Parabolic Two-Phase Free Boundary Problems
• Classical solutions to phase transition problems are smooth
• The Stefan Problem in Several Space Variables
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.

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