A Parabolic Free Boundary Problem with Bernoulli Type Condition on the Free Boundary

John Andersson and Georg Weiss
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Submission date: 26. Oct. 2006
Pages: 23
published in: Journal für die reine und angewandte Mathematik, 627 (2009), p. 213-235 
DOI number (of the published article): 10.1515/CRELLE.2009.016
MSC-Numbers: 35R35, 35K35
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Abstract:
We consider the regularity of the free boundary of the following problem

with the free boundary condition

In particular we show that flat free boundary points are have regular space normal.