Strichartz estimates for the one-dimensional wave equation
Analysis of PDEs
2019-12-17 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
We study the hyperboloidal initial value problem for the one-dimensional wave equation perturbed by a smooth potential. We show that the evolution decomposes into a finite-dimensional spectral part and an infinite-dimensional radiation part. For the radiation part we prove a set of Strichartz estimates. As an application we study the long-time asymptotics of Yang-Mills fields on a wormhole spacetime.
Cite
@article{arxiv.1908.02157,
title = {Strichartz estimates for the one-dimensional wave equation},
author = {Roland Donninger and Irfan Glogić},
journal= {arXiv preprint arXiv:1908.02157},
year = {2019}
}
Comments
31 pages, minor improvements to match the published version