Strichartz estimates for the one-dimensional wave equation

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

29 October 10:00 - 11:00

Roland Donninger - University of Vienna

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.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


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