Strichartz estimates for space-time fractional Schrodinger equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Lee, Jin Bong¹ 

[1] Korea Univ, Dept Math, Seoul 136701, South Korea

关键词: Strichartz estimates;    Fractional Schrodinger equations;    Caputo derivative;    Besov space;    Harmonic analysis;   

DOI  :  10.1016/j.jmaa.2020.123999

来源: Elsevier

【 摘 要 】

In this paper, we obtain Strichartz type estimates for space-time fractional Schrodinger equations. By making use of the Besov norm and the Mittag-Leffler function, we show that the regularity of the solutions depends on the ratio of the orders of time and space derivatives. In particular, if the ratio equals to 2, it follows that the original Strichartz estimates can be recovered. We also show that the regularity of the solution is sharp in the sense of the Besov norm. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free