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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/162/abstr.html |
| _version_ | 1818177071088664576 |
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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 | 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. |
| first_indexed | 2024-12-11T20:26:15Z |
| format | Article |
| id | doaj.art-2913aad2e37c480b9b2479c70d09dd3b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T20:26:15Z |
| publishDate | 2015-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-2913aad2e37c480b9b2479c70d09dd3b2022-12-22T00:51:56ZengTexas 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 |
| 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 |
| title | 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_short | Estimates for damped fractional wave equations and applications |
| title_sort | estimates for damped fractional wave equations and applications |
| 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 |