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arXiv · 2108.11596

Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications

Yannick Sire·Christopher D. Sogge·Chengbo Wang·Junyong Zhang
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Abstract

We provide reversed Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds using cluster estimates for spectral projectors proved previously in such generality. As a consequence, we solve a problem left open in \cite{SSWZ} about the endpoint case for global well-posedness of nonlinear wave equations. We also provide estimates in this context for the maximal wave operator.

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Yannick Sire, Christopher D. Sogge, Chengbo Wang, Junyong Zhang. 2021-08-26. Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications. https://arxiv.org/abs/2108.11596

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