JournalsrlmVol. 30, No. 2pp. 351–364

Exponential and sub-exponential stability times for the NLS on the circle

  • Luca Biasco

    Università degli Studi Roma Tre, Italy
  • Jessica Elisa Massetti

    Scuola Normale Superiore, Pisa, Italy
  • Michela Procesi

    Università degli Studi Roma Tre, Italy
Exponential and sub-exponential stability times for the NLS on the circle cover

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Abstract

In this note we study stability times for a family of parameter dependent nonlinear Schrödinger equations on the circle, close to the origin. Imposing a suitable Diophantine condition (first introduced by Bourgain), we state a rather flexible Birkho¤ Normal Form theorem, which implies, e.g., exponential and sub-exponential time estimates in the Sobolev and Gevrey class respectively. Complete proofs are given elsewhere (see [BMP18]).

Cite this article

Luca Biasco, Jessica Elisa Massetti, Michela Procesi, Exponential and sub-exponential stability times for the NLS on the circle. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 2, pp. 351–364

DOI 10.4171/RLM/850