On the construction of Sobolev Almost periodic invariant tori for the 1d NLS

Abstract

We discuss a method for the construction of almost periodic solutions of the one dimensional analytic NLS with only Sobolev regularity both in time and space. This is the first result of this kind for PDEs.

17 pages

References in corpus (2)

• Almost global existence of solutions for capillarity-gravity water waves equations with periodic spatial boundary conditions
• Chaotic-like transfers of energy in Hamiltonian PDEs