Remarks on the one-phase Stefan problem for the heat equation with the flux prescribed on the fixed boundary

DOI10.1016/0022-247X(71)90223-XzbMath0221.35035OpenAlexW1979314058MaRDI QIDQ2547315

John R. Cannon, Mario Primicerio

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0022-247x(71)90223-x

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Free boundary problems for PDEs (35R35)

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• On the infinite differentiability of the free boundary in a Stefan problem
• Free boundary problem for the heat equation with applications to problems of change of phase. I. General method of solution
• A Uniqueness Theorem for the Solution of a Stefan Problem
• A free boundary value problem for the heat equation