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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. 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Interfaces and Free Boundaries |
| Publisher: | European Mathematical Society Publishing House |
| ISSN: | 1463-9963 |
| Date: | 2010 |
| Volume: | Vol.12 |
| Number: | No.3 |
| Number of Pages: | 13 |
| Page Range: | pp. 279-291 |
| Identification Number: | 10.4171/IFB/235 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/5029 |
Data sourced from Thomson Reuters' Web of Knowledge
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