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

共 50 条

[1] ESTIMATES OF DAMPED FRACTIONAL WAVE EQUATIONS
Ruan, Jianmiao
Fan, Dashan
Zhang, Chunjie
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (04) : 990 - 1013
[2] Estimates of Damped Fractional Wave Equations
Jianmiao Ruan
Dashan Fan
Chunjie Zhang
Fractional Calculus and Applied Analysis, 2019, 22 : 990 - 1013
[3] ON SPECTRAL AND FRACTIONAL POWERS OF DAMPED WAVE EQUATIONS
Belluzi, Maykel
Bezerra, Flank D. M.
Nascimento, Marcelo J. D.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (08) : 2739 - 2773
[4] Modulation space estimates for damped fractional wave equation
ChunJie Zhang
YuHuai Zhang
FangFang Ren
Science China Mathematics, 2016, 59 : 687 - 696
[5] Asymptotic estimates of solution to damped fractional wave equation
Wang, Meizhong
Fan, Dashan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
[6] Modulation space estimates for damped fractional wave equation
Zhang ChunJie
Zhang YuHuai
Ren FangFang
SCIENCE CHINA-MATHEMATICS, 2016, 59 (04) : 687 - 696
[7] Modulation space estimates for damped fractional wave equation
ZHANG ChunJie
ZHANG YuHuai
REN FangFang
Science China(Mathematics), 2016, 59 (04) : 687 - 696
[8] Space-Time Estimates on Damped Fractional Wave Equation
Chen, Jiecheng
Fan, Dashan
Zhang, Chunjie
ABSTRACT AND APPLIED ANALYSIS, 2014,
[9] Lp-Lq estimates for damped wave equations and their applications to semi-linear problem
Narazaki, T
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2004, 56 (02) : 585 - 626
[10] POINTWISE ESTIMATES FOR SOLUTIONS TO A SYSTEM OF NONLINEAR DAMPED WAVE EQUATIONS
Wang, Wenjun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

← 1 2 3 4 5 →