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 | References | Similar Articles | Additional Information
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.
- David G. Ebin, Completeness of Hamiltonian vector fields, Proc. Amer. Math. Soc. 26 (1970), 632–634. MR 278340, DOI https://doi.org/10.1090/S0002-9939-1970-0278340-X
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- Teruo Ikebe and Tosio Kato, Uniqueness of the self-adjoint extension of singular elliptic differential operators, Arch. Rational Mech. Anal. 9 (1962), 77–92. MR 142894, DOI https://doi.org/10.1007/BF00253334
- Jacqueline Lelong-Ferrand, Sur les groupes à un paramètre de transformations des variétés différentiables, J. Math. Pures Appl. (9) 37 (1958), 269–278 (French). MR 98415
- Jacqueline Lelong-Ferrand, Condition pour qu’un groupe de transformations infinitésimales engendre un groupe global, C. R. Acad. Sci. Paris 249 (1959), 1852–1854 (French). MR 109332
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Additional Information
Keywords:
Complete vector field,
infinite-dimensional manifold,
Hamiltonian vector field,
dissipative system
Article copyright:
© Copyright 1970
American Mathematical Society