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MiS Preprint
119/2006
A Parabolic Free Boundary Problem with Bernoulli Type Condition on the Free Boundary
John Andersson and Georg Weiss
Abstract
We consider the regularity of the free boundary of the following problem $$ \Delta u -\frac{\partial u}{\partial t}=0 \quad \textrm{ in } \{ u>0 \}, $$ with the free boundary condition $|\nabla u|=1.$
In particular we show that flat free boundary points are have regular space normal.
