On a certain estimate of the free boundary in the Stefan problem

DOI10.1016/0022-0396(81)90035-8zbMath0476.35082OpenAlexW1987092552MaRDI QIDQ1160366

Hitoshi Ishii

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90035-8

zbMATH Keywords

regularityglobal solutionmoving boundary problemclassical solutionone dimensional two phase Stefan problemunique existence of a weak solution

Mathematics Subject Classification ID

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

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Cites Work

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• Parabolic variational inequalities in one space dimension and smoothness of the free boundary
• An optimal stopping problem with linear reward
• A new proof of the infinite differentiability of the free boundary in the Stefan problem
• Classical solutions of the one-dimensional, two-phase Stefan problem
• Regularity of weak solutions of one-dimensional two-phase Stefan problems
• The Stefan Problem in Several Space Variables
• One Dimensional Stefan Problems with Nonmonotone Free Boundary

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