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Lipschitz property of the free boundary in the parabolic obstacle problem
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-1316-7913
2004 (English)In: St. Petersburg Mathematical Journal, ISSN 1061-0022, E-ISSN 1547-7371, Vol. 15, no 3, p. 375-391Article in journal (Refereed) Published
Abstract [en]

A parabolic obstacle problem with zero constraint is considered. It is proved, without any additional assumptions on a free boundary, that near the fixed boundary where the homogeneous Dirichlet condition is fulfilled, the boundary of the noncoincidence set is the graph of a Lipschitz function.

Place, publisher, year, edition, pages
2004. Vol. 15, no 3, p. 375-391
Keywords [en]
Free boundary problems, Parabolic variational inequality, Regularity
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-202068DOI: 10.1090/S1061-0022-04-00813-1Scopus ID: 2-s2.0-85009783254OAI: oai:DiVA.org:kth-202068DiVA, id: diva2:1075165
Note

QC 20170217

Available from: 2017-02-17 Created: 2017-02-17 Last updated: 2017-11-29Bibliographically approved

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