ESTIMATES FOR DAMPED FRACTIONAL WAVE EQUATIONS AND APPLICATIONS

被引：0

作者：

Chen, Jiecheng ^{[1
]}

Fan, Dashan ^{[2
]}

Zhang, Chunjie ^{[3
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Univ Wisconsin, Dept Math, Milwaukee, WI 53201 USA

[3] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

Damped fractional wave equation; L-p-estimate; Strichartz estimate; R-N; EXISTENCE; SPACE; DECAY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In our previous article [1] we estimated the L-p-norm (p >= 1) of the solution to damped fractional wave equation. In this article, we prove other L-p estimates, with some emphasis on requiring less regularity of the initial data. We also study the Strichartz type estimate of this equation. Finally we present some application of these estimates, for proving existence of global solutions to semilinear damped fractional wave equations.

引用

页数：14

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