# Roland Donninger: Strichartz estimates for the one-dimensional wave equation

**Time: **
Tue 2019-10-29 10.00 - 11.00

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

**Lecturer: **
Roland Donninger, University of Vienna

### Abstract

We study the hyperboloidal initial value problem for the one-dimensional wave equation perturbed by a smooth potential. We show that the time evolution decomposes into a finite-dimensional spectral part and infinite-dimensional radiation part. For the latter we prove a set of Strichartz estimates. As an application we consider the large-time behavior of Yang-Mills fields on a wormhole spacetime. This is joint work with Irfan Glogic.