On local-in-time Strichartz estimates for the Schrodinger equation with singular potentials

被引：0

作者：

Kim, Seongyeon ^{[1
]}

Seo, Ihyeok ^{[1
]}

Seok, Jihyeon ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

来源：

MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 09期

关键词：

Schrodinger equation; Strichartz estimates; WEIGHTED L-2 SPACES; WAVE; DECAY; RESOLVENT;

D O I：

10.1002/mana.201900475

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There have been a lot of works concerning the Strichartz estimates for the perturbed Schrodinger equation by potential. These can be basically carried out adopting the well-known procedure for obtaining the Strichartz estimates from the weighted L-2 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.

引用

页码：1765 / 1772

页数：8

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