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On local-in-time Strichartz estimates for the Schrödinger equation with singular potentials
Mathematische Nachrichten ( IF 0.8 ) Pub Date : 2021-08-29 , DOI: 10.1002/mana.201900475
Seongyeon Kim 1 , Ihyeok Seo 1 , Jihyeon Seok 1
Affiliation  

There have been a lot of works concerning the Strichartz estimates for the perturbed Schrödinger equation by potential. These can be basically carried out adopting the well-known procedure for obtaining the Strichartz estimates from the weighted L2 resolvent estimates for the Laplacian. In this paper we handle the Strichartz estimates without relying on the resolvent estimates. This enables us to consider various potential classes such as the Morrey–Campanato classes.

中文翻译:

关于具有奇异势的薛定谔方程的局部时间 Strichartz 估计

已经有很多关于势能扰动薛定谔方程的 Strichartz 估计的工作。这些基本上可以通过采用从拉普拉斯算子的加权L 2解算估计获得 Strichartz 估计的众所周知的程序来执行。在本文中,我们处理 Strichartz 估计而不依赖于解决方案估计。这使我们能够考虑各种潜在的类,例如 Morrey-Campanato 类。
更新日期:2021-11-03
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