Global well posedness for the generalized DNLS.

Orateur:
Nicola Visciglia (Università di Pisa)
Localisation:
Type: Groupe de travail équations aux dérivées partielles
Site: P4 423
Salle:
La salle du conseil
Date de début:
Date de fin:

Abstract: we show that the periodic gDNLS is globally well-posed in $H^2$ for initial datum

small in $H^1$. The basic new ingredient in the globalization argument is the 

construction of suitable energy that allows to perform a Gronwall type argument. We also show how to up-date the aforementioned global existence result, to polynomial upper-bound of H^2-solutions. This is a joint work with T. Ozawa and M. Hayashi.