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ASYMPTOTICS OF HADAMARD TYPE FOR EIGENVALUES OF THE NEUMANN PROBLEM ON C-1-DOMAINS FOR ELLIPTIC OPERATORS
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2015 (English)In: Analysis & PDE, ISSN 2157-5045, E-ISSN 1948-206X, Vol. 8, no 7, 1695-1706 p.Article in journal (Refereed) Published
Abstract [en]

This article investigates how the eigenvalues of the Neumann problem for an elliptic operator depend on the domain in the case when the domains involved are of class C-1. We consider the Laplacian and use results developed previously for the corresponding Lipschitz case. In contrast with the Lipschitz case, however, in the C-1-case we derive an asymptotic formula for the eigenvalues when the domains are of class C-1. Moreover, as an application we consider the case of a C-1-perturbation when the reference domain is of class C-1,C-alpha.

Place, publisher, year, edition, pages
MATHEMATICAL SCIENCE PUBL , 2015. Vol. 8, no 7, 1695-1706 p.
Keyword [en]
Hadamard formula; domain variation; asymptotics of eigenvalues; Neumann problem; C-1-domains
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-123089DOI: 10.2140/apde.2015.8.1695ISI: 000364339400005OAI: oai:DiVA.org:liu-123089DiVA: diva2:876423
Available from: 2015-12-03 Created: 2015-12-03 Last updated: 2015-12-03

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Thim, Johan
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