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. doi:10.1016/0022-1236(91)90130-W. https://resolver.caltech.edu/CaltechAUTHORS:20170829-073525996
Full text is not posted in this repository. Consult Related URLs below.
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20170829-073525996
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: |
| |||||||||
| ORCID: |
| |||||||||
| Additional Information: | © 1991 Elsevier Inc. Received 2 August 1990. Research supported by Deutsche Forschungsgemeinschaft and by USNSF under Grant DMS-8807816. | |||||||||
| Funders: |
| |||||||||
| Issue or Number: | 2 | |||||||||
| DOI: | 10.1016/0022-1236(91)90130-W | |||||||||
| 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: | 15 Nov 2021 19:39 |
Repository Staff Only: item control page
