Date/heure
3 mars 2020
10:45 - 11:45
Oratrice ou orateur
Felice Iandoli
Catégorie d'évènement Séminaire Équations aux Derivées Partielles et Applications (Nancy)
Résumé
I will present some recent results obtained in collaboration with Roberto Feola. I shall prove that small solutions of quasilinear equations on the circle exist for long time (depending on the size of the initial condition) if the equation enjoys an algebraic structure. In this directions I will consider the Hamiltonian or reversible equations. The main difficulties are the lack of dispersion, due to the compactness of the circle, and the lack of “easy†energy estimates due to the quasi-linear nature the considered equations.