92-49 Chierchia L., Perfetti P.

Maximal Almost-Periodic Solutions for Lagrangian Equations on Infinite Dimensional Tori (26K, Plain TeX) Apr 15, 92

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Abstract. A generalization to infinite dimensions of the existence of maximal quasi-periodic solutions for Lagrangians on tori is presented. The topology on the configuration space (an infinite dimensional torus) is the standard weak topology. The existence of uncountably many almost-periodic (in the sense of H. Bohr) solutions is established for a general class of regular potentials (including "long range interactions"). The frequencies of the solutions are unbounded.

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