Regularity of weak solutions of one-dimensional two-phase Stefan problems

DOI10.1007/BF02414725zbMath0378.35008OpenAlexW2028038124MaRDI QIDQ1246829

Mario Primicerio, Shoshana Kamin, Fasano, Antonio

Publication date: 1978

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02414725

Mathematics Subject Classification ID

Heat equation (35K05)

Related Items

Existence and regularity theorems for a two-phase degenerate stefan problem with convection ⋮ Analisi fisico-matematica di problemi di filtrazione ⋮ On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem ⋮ Controllability of the Stefan problem by the flatness approach ⋮ Parabolic variational inequality with parameter and gradient constraints ⋮ On a certain estimate of the free boundary in the Stefan problem ⋮ Spreading in space-time periodic media governed by a monostable equation with free boundaries. I: Continuous initial functions. ⋮ General free-boundary problems for the heat equation. III ⋮ Disappearance of phase in the Stefan problem: one space dimension ⋮ Stefan-like problems

Cites Work

• 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
• General free-boundary problems for the heat equation. III
• The one-phase Stefan problem for the heat equation with boundary temperature specification
• A two phase Stefan problem with temperature boundary conditions
• The Stefan Problem in Several Space Variables
• One Dimensional Stefan Problems with Nonmonotone Free Boundary
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