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

2021/08/26 by Sire, Yannick, Sogge, Christopher D., Wang, Chengbo +1
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.11596

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 \citeSSWZ 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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