Preprint 43/2006
The Free Boundary Near the Fixed Boundary for the Heat Equation
John Andersson
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Submission date: 25. Apr. 2006
Pages: 14
Bibtex
MSC-Numbers: 35K20, 35R35
Keywords and phrases: Parabolic obstacle problem, boundary regularity
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Abstract:
We study the regularity of the free boundary, near contact points
with the fixed boundary, for a parabolic free boundary problem:
We will show that the free boundary is a 
manifold up to the fixed
boundary under certain regularity assumptions on the boundary data,
the norm is uniform for a certain, and specified, subclass of
solutions.