Please use this identifier to cite or link to this item: doi:10.22028/D291-26152
Title: On the global solutions of the parabolic obstacle problem
Author(s): Apushkinskaya, Darya
Shahgholian, Henrik
Uraltseva, Nina
Language: English
Year of Publication: 2001
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: In this note we consider a parabolic obstacle problem with zero constraint. The 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 established. Based on this representation we characterize the behaviour of the free boundary near contact points.
Link to this record: urn:nbn:de:bsz:291-scidok-43625
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 43
Date of registration: 14-Oct-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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