Global existence in a general Stefan-like problem

DOI10.1016/0022-247X(86)90014-4zbMath0597.35119MaRDI QIDQ1078781

Peter Knabner

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

global solutionStefan problemnonlinear Neumann condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Free boundary problems for PDEs (35R35)

Cites Work

• On a certain estimate of the free boundary in the Stefan problem
• Classical solutions of the one-dimensional, two-phase Stefan problem
• General free-boundary problems for the heat equation. III
• Su un problema unidimensionale di diffusione in un mezzo a contorno mobile con condizioni ai limiti non lineari
• La diffusione del calore in uno strato di spessore variabile in presenza di scambi termici non lineari con l'ambiente. I: Deduzione di limitazioni a priori sulla temperatura e le sue derivate
• A two phase Stefan problem with flux boundary conditions
• A general one-phase Stefan problem
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