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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A comparision theorem for Hamiltonian vector fields


Authors: Alan Weinstein and Jerrold Marsden
Journal: Proc. Amer. Math. Soc. 26 (1970), 629-631
MSC: Primary 57.50; Secondary 34.00
MathSciNet review: 0273648
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1970-0273648-6
PII: S 0002-9939(1970)0273648-6
Keywords: Complete vector field, infinite-dimensional manifold, Hamiltonian vector field, dissipative system
Article copyright: © Copyright 1970 American Mathematical Society



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