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- W1993140013 abstract "In the class of smooth periodic functions, we consider Hamiltonian equations u t = K ( u ), constants of the motion F m ( u ) that are in involution, and prove an infinite-dimensional version of Liouville's Theorem. We explain in what sense the generic level set of the functionals F m ( u ) is an infinite-dimensional torus, why the solution of the Hamiltonian equation is almost periodic in time, and describe how neighboring generic infinite-dimensional tori are related. The proof of the Theorem is independent of the method of inverse spectral theory and the viewpoint of algebraic curves." @default.
- W1993140013 created "2016-06-24" @default.
- W1993140013 creator A5071837226 @default.
- W1993140013 date "1998-09-01" @default.
- W1993140013 modified "2023-10-18" @default.
- W1993140013 title "Involutive Functionals, Infinite Dimensional Tori, and Neighboring Tori" @default.
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- W1993140013 doi "https://doi.org/10.1006/jfan.1997.3169" @default.
- W1993140013 hasPublicationYear "1998" @default.
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