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arXiv · 2007.05331

Strichartz estimates for the Klein-Gordon equation in a conical singular space

Jonathan Ben-Artzi·Federico Cacciafesta·Anne-Sophie de Suzzoni·Junyong Zhang
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Abstract

Consider a conical singular space $X=C(Y)=(0,\infty)_r\times Y$ with the metric $g=\mathrm{d}r^2+r^2h$, where the cross section $Y$ is a compact $(n-1)$-dimensional closed Riemannian manifold $(Y,h)$. We study the Klein-Gordon equations with inverse-square potentials in the space $X$, proving in particular global-in-time Strichartz estimates in this setting.

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Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni, Junyong Zhang. 2020-07-10. Strichartz estimates for the Klein-Gordon equation in a conical singular space. https://arxiv.org/abs/2007.05331

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