Simon, Barry (1992) The Neumann Laplacian of a jelly roll. Proceedings of the American Mathematical Society, 114 (3). pp. 783-785. ISSN 0002-9939. doi:10.1090/S0002-9939-1992-1076578-X. https://resolver.caltech.edu/CaltechAUTHORS:20180413-110242629
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Abstract
We consider the Laplacian with Neumann boundary conditions of a bounded connected region obtained by removing a suitable infinite spiral from an annulus. We show that the spectrum has an absolutely continuous component.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 1992 American Mathematical Society. Received by the editors October 11, 1990. (Communicated by Paul S. Muhly) Research partially funded under NSF grant number DMS-8801918. | ||||||||||||
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| Issue or Number: | 3 | ||||||||||||
| Classification Code: | MSC: Primary 58G25; Secondary 35J05, 35P05 | ||||||||||||
| DOI: | 10.1090/S0002-9939-1992-1076578-X | ||||||||||||
| Record Number: | CaltechAUTHORS:20180413-110242629 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180413-110242629 | ||||||||||||
| Official Citation: | Simon, B. (1992). The Neumann Laplacian of a Jelly Roll. Proceedings of the American Mathematical Society, 114(3), 783-785. doi:10.2307/2159405 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 85828 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | George Porter | ||||||||||||
| Deposited On: | 13 Apr 2018 19:50 | ||||||||||||
| Last Modified: | 15 Nov 2021 20:32 |
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