25–29 mars 2024
IRMAR
Fuseau horaire Europe/Paris

Some dynamical properties of the scattering operator for NLS

29 mars 2024, 11:45
1h
Amphi Lebesgue (ground floor) (IRMAR)

Amphi Lebesgue (ground floor)

IRMAR

Orateur

Rémi Carles

Description

For the nonlinear Schrodinger equation with short range nonlinearity, the construction of this operator often implies sone analyticity properties of this operator, as we will explain in a first part. We will also show how, in the special case of the mass-critical nonlinearity, it is rather straightforward to construct final states, or initial data, for which the action of the scattering operator, or inverted wave operator, is explicit, consisting in the multiplication by an arbitrary complex number of modulus one.

Documents de présentation

Aucun document.