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

Time: Tue 2019-10-29 10.00 - 11.00

Lecturer: Roland Donninger, University of Vienna

Location: Seminar Hall Kuskvillan, Institut Mittag-Leffler

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.

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Last changed: Oct 25, 2019