Differential and Integral Equations

Fully nonlinear phase transition problems with flat free boundaries

Emmanouil Milakis

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In this paper we continue our study, started in [9], on the regularity theory of Stefan-like free boundary problems for a special class of fully nonlinear equations of parabolic type. We prove that degenerate Lipschitz free boundaries, with small Lipschitz constant in space, are $C^1$.

Article information

Differential Integral Equations, Volume 23, Number 1/2 (2010), 93-112.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35R35: Free boundary problems 35K55: Nonlinear parabolic equations


Milakis, Emmanouil. Fully nonlinear phase transition problems with flat free boundaries. Differential Integral Equations 23 (2010), no. 1/2, 93--112. https://projecteuclid.org/euclid.die/1356019389

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