Chierchia L., Perfetti P.
Maximal Almost-Periodic Solutions for Lagrangian Equations on Infinite
Dimensional Tori
(26K, Plain TeX)
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.