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Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators

Burenkov, Victor and Lamberti, Pier Domenico 2012. Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators. Revista Matematica Complutense 25 (2) , pp. 435-457. 10.1007/s13163-011-0079-2

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Abstract

We prove sharp stability estimates for the variation of the eigenvalues of non-negative self-adjoint elliptic operators of arbitrary even order upon variation of the open sets on which they are defined. These estimates are expressed in terms of the Lebesgue measure of the symmetric difference of the open sets. Both Dirichlet and Neumann boundary conditions are considered.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer Verlag
ISSN: 1139-1138
Last Modified: 04 Jun 2017 08:47
URI: http://orca.cf.ac.uk/id/eprint/84898

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