Inhomogeneous Strichartz estimates in some critical cases
Inhomogeneous Strichartz estimates in some critical cases
复制标题
某些关键情况下的非齐次 Strichartz 估计
DOI：
10.1090/proc/14874
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发表时间：
2020
影响因子：
1
通讯作者：
Sanghyuk Lee
中科院分区：
文献类型：
--
作者：
Neal Bez;Jayson Cunanan;Sanghyuk Lee
强型非齐次Eschenhartz估计被证明是假的波动方程以外的所谓的可接受的区域。在临界线的可接受性条件略有失败，我们证明了替代估计与弱型规范的时间变量。我们实现这一点，通过建立这样的弱型非齐次Eschenhartz估计在一个抽象的设置。波动方程的应用取决于在某些Besov空间方面的标准色散估计的稍微强的形式。引用
Strong-type inhomogeneous Strichartz estimates are shown to be false for the wave equation outside the so-called acceptable region. On a critical line where the acceptability condition marginally fails, we prove substitute estimates with a weak-type norm in the temporal variable. We achieve this by establishing such weak-type inhomogeneous Strichartz estimates in an abstract setting. The application to the wave equation rests on a slightly stronger form of the standard dispersive estimate in terms of certain Besov spaces. References