Local well-posedness of semilinear space-time fractional Schrodinger equation

被引：12

作者：

Su, Xiaoyan ^{[1
]}

Zhao, Shiliang ^{[2
]}

Li, Miao ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 479卷 / 01期

关键词：

Space-time fractional Schrodinger equation; L-s decay estimates; Local well-posedness; CAUCHY-PROBLEM;

D O I：

10.1016/j.jmaa.2019.06.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The semilinear space-time fractional Schrodinger equation is considered. First, we give the explicit form for the fundamental solutions by using the Fox H-functions in order to establish some L-s decay estimates. After that, we give some space-time estimates for the mild solutions from which the local well-posedness is derived on some proper Banach space. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：1244 / 1265

页数：22

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