Estimates for damped fractional wave equations and applications

Estimates for damped fractional wave equations and applications

In our previous article [1] we estimated the L^p-norm ($p\geq 1$) 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. F...

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Main Authors: Jiecheng Chen, Dashan Fan, Chunjie Zhang
Format: Article
Language:English
Published: Texas State University 2015-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Damped fractional wave equation
L^p-estimate
Strichartz estimate
Online Access:http://ejde.math.txstate.edu/Volumes/2015/162/abstr.html
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spelling doaj-2913aad2e37c480b9b2479c70d09dd3b2020-11-25T00:27:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-06-012015162,114Estimates for damped fractional wave equations and applicationsJiecheng Chen0Dashan Fan1Chunjie Zhang2 Zhejiang Normal Univ., Jinhua, China Univ. of Wisconsin-Milwaukee, WI, USA Hangzhou Dianzi Univ., Hangzhou, China In our previous article [1] we estimated the L^p-norm ($p\geq 1$) 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.http://ejde.math.txstate.edu/Volumes/2015/162/abstr.htmlDamped fractional wave equationL^p-estimateStrichartz estimate
collection DOAJ
language English
format Article
sources DOAJ
author Jiecheng Chen
Dashan Fan
Chunjie Zhang
spellingShingle Jiecheng Chen
Dashan Fan
Chunjie Zhang
Estimates for damped fractional wave equations and applications
Electronic Journal of Differential Equations
Damped fractional wave equation
L^p-estimate
Strichartz estimate
author_facet Jiecheng Chen
Dashan Fan
Chunjie Zhang
author_sort Jiecheng Chen
title Estimates for damped fractional wave equations and applications
title_short Estimates for damped fractional wave equations and applications
title_full Estimates for damped fractional wave equations and applications
title_fullStr Estimates for damped fractional wave equations and applications
title_full_unstemmed Estimates for damped fractional wave equations and applications
title_sort estimates for damped fractional wave equations and applications
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2015-06-01
description In our previous article [1] we estimated the L^p-norm ($p\geq 1$) 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.
topic Damped fractional wave equation
L^p-estimate
Strichartz estimate
url http://ejde.math.txstate.edu/Volumes/2015/162/abstr.html
work_keys_str_mv AT jiechengchen estimatesfordampedfractionalwaveequationsandapplications
AT dashanfan estimatesfordampedfractionalwaveequationsandapplications
AT chunjiezhang estimatesfordampedfractionalwaveequationsandapplications
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