Please use this identifier to cite or link to this item: doi:10.22028/D291-26351
Title: Regularity of a free boundary in parabolic problem without sign restriction
Author(s): Apushkinskaya, Darya
Matevosyan, Norayr
Uraltseva, Nina
Language: English
Year of Publication: 2006
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: A parabolic obstacle-type problem without sigh restriction on a solution is considered. An exact representation of the global solutions (i.e., solutions in the entire half-space \{(x,t)\in\mathbb{R}^{n+1}:x_{1}<0\}) is found. 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.
Link to this record: urn:nbn:de:bsz:291-scidok-46748
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 187
Date of registration: 13-Mar-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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