On the construction of Sobolev Almost periodic invariant tori for the 1d NLS
arXiv:2009.04312
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.
arXiv comment17 pages
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- Chaotic-like transfers of energy in Hamiltonian PDEs
- Almost periodic invariant tori for the NLS on the circle