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Classical solutions of the one-dimensional, two-phase Stefan problem

https://doi.org/10.1007/bf02416479
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf02415066openalex-snapshot
A two phase Stefan problem with temperature boundary conditions
inferredcites →https://doi.org/10.1016/0016-0032(65)90278-4openalex-snapshot
Partial differential equations of parabolic type
inferredcites →https://doi.org/10.1090/pspum/018.1/0273468openalex-snapshot
On some degenerate nonlinear parabolic equations
inferredcites →https://doi.org/10.1090/qam/43330openalex-snapshot
A note on the existence of a solution to a problem of Stefan
inferredcites →https://doi.org/10.1090/s0002-9904-1974-13347-1openalex-snapshot
Continuous differentiability of the free boundary for weak solutions of the Stefan problem
inferredcites →https://doi.org/10.1090/s0002-9947-1968-0227625-7openalex-snapshot
The Stefan Problem in Several Space Variables
inferredcites →https://doi.org/10.1090/s0002-9947-1968-0227626-9openalex-snapshot
One Dimensional Stefan Problems with Nonmonotone Free Boundary
inferredcites →https://doi.org/10.1512/iumj.1959.8.58035openalex-snapshot
An Existence and Uniqueness Theorem for a Nonlinear Stefan Problem
inferredcites →https://doi.org/10.1512/iumj.1968.17.17002openalex-snapshot
A Multi-Boundary Stefan Problem and the Disappearance of Phases

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-0348-9148-6_12openalex-snapshot
Two-Phase Stefan Problems with Feedback Controls
inferred← citeshttps://doi.org/10.1007/978-94-010-1205-8_5openalex-snapshot
Topics in Parabolic Equations: Some Typical Free Boundary Problems
inferred← citeshttps://doi.org/10.1007/bf00249700openalex-snapshot
Analyticity of the free boundary for the Stefan problem
inferred← citeshttps://doi.org/10.1007/bf01761493openalex-snapshot
Continuity of weak solutions to certain singular parabolic equations
inferred← citeshttps://doi.org/10.1007/bf01761503openalex-snapshot
The classical solution of the one-dimensional two-phase stefan problem with energy specification
inferred← citeshttps://doi.org/10.1007/bf02414725openalex-snapshot
Regularity of weak solutions of one-dimensional two-phase Stefan problems
inferred← citeshttps://doi.org/10.1007/bf03167042openalex-snapshot
A free boundary problem in ecology
inferred← citeshttps://doi.org/10.1007/s00033-025-02676-7openalex-snapshot
Approximate solutions to the one-phase Stefan problem
inferred← citeshttps://doi.org/10.1007/s40072-026-00425-zopenalex-snapshot
The existence and uniqueness for a heat equation with fractional Brownian moving boundaries and Volterra-type Dirichlet boundary term
inferred← citeshttps://doi.org/10.1016/0022-0396(81)90035-8openalex-snapshot
On a certain estimate of the free boundary in the Stefan problem
inferred← citeshttps://doi.org/10.1016/0022-0396(88)90120-9openalex-snapshot
On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem
inferred← citeshttps://doi.org/10.1016/0022-0396(91)90131-ropenalex-snapshot
On the regularity of weak solutions of a one-dimensional two-phase degenerate Stefan problem with convection
inferred← citeshttps://doi.org/10.1016/0022-247x(77)90088-9openalex-snapshot
General free-boundary problems for the heat equation, III
inferred← citeshttps://doi.org/10.1016/0022-247x(77)90239-6openalex-snapshot
General free-boundary problems for the heat equation, II
inferred← citeshttps://doi.org/10.1016/0022-247x(82)90270-0openalex-snapshot
The one phase Stefan problem subject to the specification of energy
inferred← citeshttps://doi.org/10.1016/0022-247x(86)90014-4openalex-snapshot
Global existence in a general Stefan-like problem
inferred← citeshttps://doi.org/10.1016/0022-247x(92)90028-copenalex-snapshot
Large-time solutions of the two-phase Stefan problem with delay
inferred← citeshttps://doi.org/10.1016/0362-546x(84)90018-xopenalex-snapshot
Degenerate diffusion and the Stefan problem
inferred← citeshttps://doi.org/10.1016/b978-0-444-63581-5.00010-5openalex-snapshot
Analysis of the Classical Solutions of Stefan Problems
inferred← citeshttps://doi.org/10.1016/b978-0-444-63581-5.09990-5openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/j.enganabound.2008.08.010openalex-snapshot
The method of fundamental solutions for free surface Stefan problems
inferred← citeshttps://doi.org/10.1016/j.jmaa.2005.03.082openalex-snapshot
On the asymptotic free boundary for the American put option problem
inferred← citeshttps://doi.org/10.1016/j.matcom.2014.03.004openalex-snapshot
A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem
inferred← citeshttps://doi.org/10.1016/j.sysconle.2023.105480openalex-snapshot
Controllability of the Stefan problem by the flatness approach
inferred← citeshttps://doi.org/10.1016/j.tsep.2026.104655openalex-snapshot
The Stefan problem in a finite, one-dimensional domain with periodic radiative forcing: Scaling laws and application to lunar habitat design
inferred← citeshttps://doi.org/10.1016/s0167-5931(03)80019-0openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1080/17415977.2012.665906openalex-snapshot
A meshless method for an inverse two-phase one-dimensional linear Stefan problem
inferred← citeshttps://doi.org/10.1090/s0002-9947-1982-0670925-4openalex-snapshot
Regularizing effects for $u\sb{t}=\Delta \varphi (u)$
inferred← citeshttps://doi.org/10.1137/110852474openalex-snapshot
Two Phase Stefan Problem with Boundary Temperature Conditions: An Analytical Approach
inferred← citeshttps://doi.org/10.1515/9783110846720.231openalex-snapshot
References
inferred← citeshttps://doi.org/10.1515/jiip-2021-0077openalex-snapshot
Analytical solution of Stefan-type problems
inferred← citeshttps://doi.org/10.2977/prims/1195187207openalex-snapshot
A Difference Scheme for Solving Two Phase Stefan Problem of Heat Equation
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