Strichartz estimates for the one-dimensional wave equation

Roland Donninger; Irfan Glogić

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arXiv · 1908.02157

Strichartz estimates for the one-dimensional wave equation

Roland Donninger·Irfan Glogić

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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.

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Roland Donninger, Irfan Glogić. 2019-08-06. Strichartz estimates for the one-dimensional wave equation. https://arxiv.org/abs/1908.02157

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