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.

引用

页码：990 / 1013

页数：24

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