Control of wave equations from data on time-like surfaces, and applications to the profile of singularities.

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• Spyros Alexakis (Toronto/Imperial)
• Monday 26 October 2015, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Harsha Hutridurga.

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.

This talk is part of the Partial Differential Equations seminar series.

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