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The essential spectrum of Neumann Laplacians on some bounded singular domains

Hempel, Rainer and Seco, Luis A. and Simon, Barry (1991) The essential spectrum of Neumann Laplacians on some bounded singular domains. Journal of Functional Analysis, 102 (2). pp. 448-483. ISSN 0022-1236. https://resolver.caltech.edu/CaltechAUTHORS:20170829-073525996

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Abstract

In the present paper we consider Neumann Laplacians on singular domains of the type “rooms and passages” or “combs” and we show that, in typical situations, the essential spectrum can be determined from the geometric data. Moreover, given an arbitrary closed subset S of the non-negative reals, we construct domains Ω = Ω(S) such that the essential spectrum of the Neumann Laplacian on Ω is just this set S.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0022-1236(91)90130-WDOIArticle
http://www.sciencedirect.com/science/article/pii/002212369190130W?via%3DihubPublisherArticle
ORCID:
AuthorORCID
Simon, Barry0000-0003-2561-8539
Additional Information:© 1991 Elsevier Inc. Received 2 August 1990. Research supported by Deutsche Forschungsgemeinschaft and by USNSF under Grant DMS-8807816.
Funders:
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
NSFDMS-8807816
Issue or Number:2
Record Number:CaltechAUTHORS:20170829-073525996
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170829-073525996
Official Citation:Rainer Hempel, Luis A Seco, Barry Simon, The essential spectrum of Neumann Laplacians on some bounded singular domains, Journal of Functional Analysis, Volume 102, Issue 2, December 1991, Pages 448-483, ISSN 0022-1236, https://doi.org/10.1016/0022-1236(91)90130-W. (http://www.sciencedirect.com/science/article/pii/002212369190130W)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80884
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Aug 2017 19:27
Last Modified:03 Oct 2019 18:36

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