Space-Time Estimates on Damped Fractional Wave Equation

Space-Time Estimates on Damped Fractional Wave Equation

We obtain space-time estimates on the solution u(t,x) to the Cauchy problem of damped fractional wave equation. We mainly focus on the linear equation. The almost everywhere convergence of the solution to linear equations as t→0+ is also studied, with the initial data satisfying certain regularity c...

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Main Authors: Jiecheng Chen, Dashan Fan, Chunjie Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/428909
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spelling doaj-f951cac31085485bb2ce09e327750b862020-11-24T22:35:17ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/428909428909Space-Time Estimates on Damped Fractional Wave EquationJiecheng Chen0Dashan Fan1Chunjie Zhang2Department of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaDepartment of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USASchool of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaWe obtain space-time estimates on the solution u(t,x) to the Cauchy problem of damped fractional wave equation. We mainly focus on the linear equation. The almost everywhere convergence of the solution to linear equations as t→0+ is also studied, with the initial data satisfying certain regularity conditions.http://dx.doi.org/10.1155/2014/428909
collection DOAJ
language English
format Article
sources DOAJ
author Jiecheng Chen
Dashan Fan
Chunjie Zhang
spellingShingle Jiecheng Chen
Dashan Fan
Chunjie Zhang
Space-Time Estimates on Damped Fractional Wave Equation
Abstract and Applied Analysis
author_facet Jiecheng Chen
Dashan Fan
Chunjie Zhang
author_sort Jiecheng Chen
title Space-Time Estimates on Damped Fractional Wave Equation
title_short Space-Time Estimates on Damped Fractional Wave Equation
title_full Space-Time Estimates on Damped Fractional Wave Equation
title_fullStr Space-Time Estimates on Damped Fractional Wave Equation
title_full_unstemmed Space-Time Estimates on Damped Fractional Wave Equation
title_sort space-time estimates on damped fractional wave equation
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We obtain space-time estimates on the solution u(t,x) to the Cauchy problem of damped fractional wave equation. We mainly focus on the linear equation. The almost everywhere convergence of the solution to linear equations as t→0+ is also studied, with the initial data satisfying certain regularity conditions.
url http://dx.doi.org/10.1155/2014/428909
work_keys_str_mv AT jiechengchen spacetimeestimatesondampedfractionalwaveequation
AT dashanfan spacetimeestimatesondampedfractionalwaveequation
AT chunjiezhang spacetimeestimatesondampedfractionalwaveequation
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