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 hdl:20.500.11880/26407 http://dx.doi.org/10.22028/D291-26351 |
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 |
Files for this record:
File | Description | Size | Format | |
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preprint_187_06.pdf | 227,95 kB | Adobe PDF | View/Open |
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