Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications
Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications
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DOI：
10.1080/03605302.2022.2047724
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发表时间：
2021-08
影响因子：
1.9
通讯作者：
Y. Sire;C. Sogge;Chengbo Wang;Junyong Zhang
中科院分区：
文献类型：
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作者：
Y. Sire;C. Sogge;Chengbo Wang;Junyong Zhang
摘要我们给出了非陷阱渐近双曲流形上移位波动方程的逆Strichartz估计，并利用谱投影的簇估计证明了这种估计的一般性。因此，我们解决了Sire等人的一个悬而未决的问题。AMS 373(2020)：7639-7668]关于非线性波动方程整体适定性的端点情况。在此背景下，我们还给出了最大波算子的估计。
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 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.