Contact of a free boundary with a fixed boundary

For a simple elliptic obstacle problem the behaviour of the free boundary is studied near its points of contact with the fixed boundary of the domain. An earlier result of the author on the C{sup 1}-regularity of the boundary {partial_derivative}N of the non-coincidence set is refined. It is shown t...

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Bibliographic Details
Published in:Sbornik. Mathematics 2000-02, Vol.191 (2)
Main Author: Ural'tseva, N N
Format: Article
Language:English
Subjects:
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
MATHEMATICAL LOGIC
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Summary:For a simple elliptic obstacle problem the behaviour of the free boundary is studied near its points of contact with the fixed boundary of the domain. An earlier result of the author on the C{sup 1}-regularity of the boundary {partial_derivative}N of the non-coincidence set is refined. It is shown that the previously imposed Lipschitz condition on {partial_derivative}N can be dispensed with.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2000V191N02ABEH000457;COUNTRYOFINPUT:INTERNATIONALATOMICENERGYAGENCY(IAEA)