ESTIMATES OF DAMPED FRACTIONAL WAVE EQUATIONS

被引：1
|
作者：
Ruan, Jianmiao [1 ]
Fan, Dashan [2 ]
Zhang, Chunjie [3 ,4 ]
机构：
[1] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310012, Zhejiang, Peoples R China
[2] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA
[3] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
[4] Zhejiang Univ, Journal Branch, Hangzhou 310007, Zhejiang, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2019年 / 22卷 / 04期
基金：
中国国家自然科学基金;
关键词：
damped fractional wave equation; Hardy space; Triebel-Lizorkin space; L-P; R-N; BOUNDEDNESS; DIFFUSION; SPACES;
D O I：
10.1515/fca-2019-0053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, for the high frequency part of the solution u(x, t) to the linear fractional damped wave equation, we derive asymptotic-in-time linear estimates in Triebel-Lizorkin spaces. Thus we obtain long time decay estimates in real Hardy spaces Hp for u(x, t). The obtained results are natural extension of the known L-p estimates. Our proof is based on some basic properties of the Triebel-Lizorkin space, as well as an atomic decomposition introduced by Han, Paluszynski and Weiss.
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页码：990 / 1013
页数：24
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