The energy graph of the non-linear Schrödinger equation

  • Michela Procesi

    Università di Roma La Sapienza, Italy
  • Claudio Procesi

    Università di Roma La Sapienza, Italy
  • Bich Van Nguyen

    Università di Roma La Sapienza, Italy

Abstract

We discuss the stability of a class of normal forms of the completely resonant nonlinear Schrödinger equation on a torus described in [12]. The discussion is essentially combinatorial and algebraic in nature.

Cite this article

Michela Procesi, Claudio Procesi, Bich Van Nguyen, The energy graph of the non-linear Schrödinger equation. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 24 (2013), no. 2, pp. 229–301

DOI 10.4171/RLM/654