Abstract
Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
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van den Berg, M; Bolthausen, E (1999). Estimates for Dirichlet eigenfunctions. Journal- London Mathematical Society, 59(2):607-619.
Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
Item Type: | Journal Article, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
Dewey Decimal Classification: | 510 Mathematics |
Scopus Subject Areas: | Physical Sciences > General Mathematics |
Uncontrolled Keywords: | logarithmic capacity, uniform capacity density |
Language: | English |
Date: | 1999 |
Deposited On: | 30 Apr 2010 08:38 |
Last Modified: | 03 Nov 2024 02:36 |
Publisher: | Oxford University Press |
ISSN: | 0024-6107 |
OA Status: | Green |
Publisher DOI: | https://doi.org/10.1112/S0024610799007267 |
Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1709668 http://www.zentralblatt-math.org/NEW/zmath/search/?q=an%3A0938.35048 |