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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/428909 |
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| _version_ | 1832550599034404864 |
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| author | Jiecheng Chen Dashan Fan Chunjie Zhang |
| author_facet | Jiecheng Chen Dashan Fan Chunjie Zhang |
| author_sort | Jiecheng Chen |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f951cac31085485bb2ce09e327750b86 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f951cac31085485bb2ce09e327750b862025-02-03T06:06:25ZengWileyAbstract 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 |
| spellingShingle | Jiecheng Chen Dashan Fan Chunjie Zhang Space-Time Estimates on Damped Fractional Wave Equation Abstract and Applied Analysis |
| title | 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_short | Space-Time Estimates on Damped Fractional Wave Equation |
| title_sort | space time estimates on damped fractional wave equation |
| url | http://dx.doi.org/10.1155/2014/428909 |
| work_keys_str_mv | AT jiechengchen spacetimeestimatesondampedfractionalwaveequation AT dashanfan spacetimeestimatesondampedfractionalwaveequation AT chunjiezhang spacetimeestimatesondampedfractionalwaveequation |