Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle

Dispersive Estimates for the Semi classical Schrödinger Flow inside General Convex Domains and Applications to the Cubic NLS in 3D

26 mai 2023, 09:30

1h

Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Orateur

Prof. Oana Ivanovici (CNRS, Sorbonne Université)

Description

We obtain fixed time decay rate for the linear semi-classical Schrödinger flow inside a general strictly convex domain.
Corresponding Strichartz estimates allow to solve the cubic NLS on such 3D convex domains. This is joint work with F.Planchon