A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS

Luca Biasco; Jessica Elisa Massetti; Michela Procesi

doi:10.4171/rlm/923

JournalsrlmVol. 31, No. 4pp. 981–993

A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS

Luca Biasco
Università degli Studi Roma Tre, Italy
- MathSciNet
- zbMATH Open
Jessica Elisa Massetti
Università degli Studi Roma Tre, Italy
- zbMATH Open
Michela Procesi
Università degli Studi Roma Tre, Italy
- MathSciNet
- zbMATH Open

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Abstract

We announce 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.

Cite this article

Luca Biasco, Jessica Elisa Massetti, Michela Procesi, A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 4, pp. 981–993

DOI 10.4171/RLM/923