Control of wave equations from data on time-like surfaces, and applications to the profile of singularities.
- đ¤ Speaker: Spyros Alexakis (Toronto/Imperial) đ Website
- đ Date & Time: Monday 26 October 2015, 15:00 - 16:00
- đ Venue: CMS, MR13
Abstract
We review some recent results, joint with A. Shao (and partly Volker Schlue), regarding the control one can obtain for some linear and non-linear wave equations, from Cauchy data on suitably large portions of time-like surfaces. We obtain control of the solution on specific space-like surfaces which have the property that any null ray crossing the surface ``registers’’ on the Cauchy data set. This is applied to understand the singularity profile of some focusing non-linear waves. Time permitting, we may discuss some more recent work in this connection.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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Spyros Alexakis (Toronto/Imperial) 
Monday 26 October 2015, 15:00-16:00