Counterexamples to the Strichartz estimates for the wave equation in domains

Sunday, October 18, 2009 -
4:00pm to 6:00pm
We prove that the Strichartz estimates for the wave equation inside a strictly convex domain $\Omega$ of dimension $2$ suffer losses when compared to the usual case $\mathbb{R}2$, (at least for a subset of the usual range of indices) and this is due to microlocal phenomena such as caustics generated in arbitrariIly small time near the boundary.
Speaker: 
Oana Ivanovici
Johns Hopkins University
Event Location: 
Fine Hall 110