Nonlinear Waves Trimester - May Conference

Collection Nonlinear Waves Trimester - May Conference

Organizer(s) Frank MERLE (Université de Cergy-Pontoise & IHÉS), Pierre RAPHAËL (Université Nice Sophia-Antipolis), Nikolay TZVETKOV (Université de Cergy-Pontoise)

Date(s) 23/05/2016 - 27/05/2016

linked URL https://indico.math.cnrs.fr/event/889/

00:00:00 / 00:00:00

17 21

Equivariant wave maps on a class of rotationally symmetric manifolds

By Piero D'Ancona

Joint work with Qidi Zhang (Shanghai). We study a class of rotationally invariant manifolds, which we call admissible, on which it is possible to prove smoothing and Strichartz estimates for the wave equation. This class includes asymptotically flat manifolds but also perturbations of real hyperbolic spaces $\mathbb{H}^{n}$ for $n\ge3$, and other manifolds with non vanishing curvature at infinity. Among other results we can prove the global existence of equivariant wave maps from admissible manifolds to general targets, for small initial data of critical regularity $H^{\frac n2}$

Information about the video

Date of recording 26/05/2016
Date of publication 03/06/2016
Institution IHES
Format MP4

Domain(s)

Analysis of PDEs

MSC codes

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