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

Yannick Sire, Christopher D. Sogge, Chengbo Wang, Junyong Zhang*

*此作品的通讯作者

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摘要

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 Sire et al [Trans. AMS 373(2020):7639-7668] about the endpoint case for global well-posedness of nonlinear wave equations. We also provide estimates in this context for the maximal wave operator.

源语言英语
页（从-至）1124-1132
页数9
期刊Communications in Partial Differential Equations
卷47
期6
DOI
出版状态已出版 - 2022

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Sire, Y., Sogge, C. D., Wang, C., & Zhang, J. (2022). Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications. Communications in Partial Differential Equations, 47(6), 1124-1132. https://doi.org/10.1080/03605302.2022.2047724