Weinstein, Alan J. and Marsden, Jerrold E. (1970) A comparison theorem for Hamiltonian vector fields. Proceedings of the American Mathematical Society, 26 (4). pp. 629-631. ISSN 0002-9939. doi:10.1090/S0002-9939-1970-0273648-6. https://resolver.caltech.edu/CaltechAUTHORS:20100910-101004513
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Abstract
The question of completeness of Hamiltonian systems is investigated for a class of potentials not necessarily bounded below. The result generalizes previous work of W. Gordon and D. Ebin.
| Item Type: | Article | ||||||||||||
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| Additional Information: | © 1970 American Mathematical Society . Received by the editors March 15, 1970. Partially supported by NSF Grant GP-13348. Partially supported by Navy contract N00014-69-A-0200-1002. | ||||||||||||
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| Subject Keywords: | Complete vector field, infinite-dimensional manifold, Hamiltonian vector field, dissipative system. | ||||||||||||
| Issue or Number: | 4 | ||||||||||||
| Classification Code: | AMS 1969 subject classifications: Primary 3465; Secondary 3442 | ||||||||||||
| DOI: | 10.1090/S0002-9939-1970-0273648-6 | ||||||||||||
| Record Number: | CaltechAUTHORS:20100910-101004513 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100910-101004513 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 19863 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 10 Sep 2010 17:53 | ||||||||||||
| Last Modified: | 08 Nov 2021 23:55 |
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