## Differential and Integral Equations

### Fully nonlinear phase transition problems with flat free boundaries

Emmanouil Milakis

#### Abstract

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

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

Dates
First available in Project Euclid: 20 December 2012