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

  • Jessica Elisa Massetti

    Università degli Studi Roma Tre, Italy

  • Michela Procesi

    Università degli Studi Roma Tre, Italy
A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS cover

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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