Uniqueness of solution to a free boundary problem from combustion

DOI10.1090/S0002-9947-00-02663-5zbMath1035.35091OpenAlexW1699363552MaRDI QIDQ4517458

Juan Luis Vazquez, Claudia Lederman, Noemí I. Wolanski

Publication date: 22 November 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02663-5

zbMATH Keywords

heat equationuniquenessviscosity solutioncombustionclassical solutionlimit solutionFree-boundary problem

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05) Combustion (80A25) Free boundary problems for PDEs (35R35)

Related Items (10)

Optimal Regularity of Mixed Dirichlet-Conormal Boundary Value Problems for Parabolic Operators ⋮ Singular Perturbation in a Nonlocal Diffusion Problem ⋮ ON EXISTENCE AND UNIQUENESS IN A FREE BOUNDARY PROBLEM FROM COMBUSTION ⋮ Fully nonlinear singularly perturbed models with non-homogeneous degeneracy ⋮ A free boundary problem arising in flame propagation. ⋮ Local in time solvability of a nonstandard free boundary problem in stratigraphy: a Lagrangian approach ⋮ Nonuniqueness in a free boundary problem from combustion ⋮ Smooth solutions to a class of free boundary parabolic problems ⋮ A free-boundary problem for the evolution \(p\)-Laplacian equation with a combustion boundary condition ⋮ Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms

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