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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
DOI: https://doi.org/10.1090/S0002-9939-1970-0273648-6
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.


References [Enhancements On Off] (What's this?)

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  • [2] P. Hartman, Ordinary differential equations, Wiley, New York, 1964. MR 30 #1270. MR 0171038 (30:1270)
  • [3] T. Ikebe and T. Kato, Uniqueness of the self-adjoint extension of singular elliptic differential operators, Arch. Rational Mech. Anal. 9 (1962), 77-92. MR 26 #461. MR 0142894 (26:461)
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  • 1. -, Condition pour qu'un groupe de transformations infinitésimales engendre un groupe global, C. R. Acad. Sci. Paris 249 (1959), 1852-1854. MR 22 #218. MR 0109332 (22:218)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0273648-6
Keywords: Complete vector field, infinite-dimensional manifold, Hamiltonian vector field, dissipative system
Article copyright: © Copyright 1970 American Mathematical Society

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