Resonances and genericity in Birkhoff normal forms
Erwan Faou1
1 Univ Rennes, INRIA, CNRS, IRMAR - UMR 6625, F-35000 Rennes, France
Séminaire Laurent Schwartz — EDP et applications (2019-2020), Talk no. 5, 10 p.

This paper is based on the presentation done at the seminar Laurent Schwartz in January 2020. It describes and summarizes the results given in Rational normal forms and stability of small solutions to nonlinear Schrödinger equations, see [BFG20a], written with Joackim Bernier and Benoît Grébert, and published in Annals of PDE 6, article number: 14 (2020) 65p. We describe here the main arguments of the proof as well as the general strategy used in the Birkhoff normal form for Partial Differential Equations.

Published online:
DOI: 10.5802/slsedp.145
Erwan Faou 1

1 Univ Rennes, INRIA, CNRS, IRMAR - UMR 6625, F-35000 Rennes, France 
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Erwan Faou. Resonances and genericity in Birkhoff normal forms. Séminaire Laurent Schwartz — EDP et applications (2019-2020), Talk no. 5, 10 p. doi : 10.5802/slsedp.145. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.145/

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