A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains
Behrndt, J. and Langer, M. and Lobanov, I. and Lotoreichik, V. and Popov, I. Yu. (2010) A remark on Schatten-von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains. Journal of Mathematical Analysis and Applications, 371 (2). pp. 750-758. ISSN 0022-247X
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In this note we investigate the asymptotic behavior of the s-numbers of the resolvent difference of two generalized self-adjoint, maximal dissipative or maximal accumulative Robin Laplacians on a bounded domain Ω with smooth boundary ∂Ω. For this we apply the recently introduced abstract notion of quasi boundary triples and Weyl functions from extension theory of symmetric operators together with Krein type resolvent formulae and well-known eigenvalue asymptotics of the Laplace-Beltrami operator on ∂Ω. It is shown that the resolvent difference of two generalized Robin Laplacians belongs to the Schatten-von Neumann class of any order p for which
Creators(s): |
Behrndt, J., Langer, M. ![]() | Item type: | Article |
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ID code: | 27390 |
Keywords: | laplacian, self-adjoint extension, quasi boundary triple, weyl function, krein's formula, non-local boundary condition, schatten–von neumann class, singular numbers, Mathematics, Analysis, Applied Mathematics |
Subjects: | Science > Mathematics |
Department: | Faculty of Science > Mathematics and Statistics |
Depositing user: | Mrs Carolynne Westwood |
Date deposited: | 06 Sep 2010 10:50 |
Last modified: | 20 Jan 2021 18:58 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/27390 |
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