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Boundary regularity for a parabolic obstacle type problem
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Andersson, J. (2010) Boundary regularity for a parabolic obstacle type problem. Interfaces and Free Boundaries, Vol.12 (No.3). pp. 279-291. doi:10.4171/IFB/235 ISSN 1463-9963.
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Official URL: http://dx.doi.org/10.4171/IFB/235
Abstract
We study the regularity of the free boundary, near contact points with the fixed boundary, for a parabolic free boundary problem
Lambda u - partial derivative u/partial derivative t = chi({u not equal o}) in Q(r)(+) = {(x, t) is an element of B-r x (-r(2), 0); x(1) > 0},
u = f(x, t) on {x(1) = 0} boolean AND Q(r).
We will show that under certain regularity assumptions on the boundary data f the free boundary is a C-1 manifold up to the fixed boundary. We also show that the C-1 modulus of continuity is uniform for a certain, and specified, subclass of solutions.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Interfaces and Free Boundaries | ||||
Publisher: | European Mathematical Society Publishing House | ||||
ISSN: | 1463-9963 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.12 | ||||
Number: | No.3 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 279-291 | ||||
DOI: | 10.4171/IFB/235 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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