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

被引：11
|
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
收藏
页码：1244 / 1265
页数：22
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