Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n
In this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential.
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| Format: | Article |
| Language: | English |
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Texas State University
2010-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/71/abstr.html |
| _version_ | 1811244384486686720 |
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| author | Mohammad Kafini |
| author_facet | Mohammad Kafini |
| author_sort | Mohammad Kafini |
| collection | DOAJ |
| description | In this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential. |
| first_indexed | 2024-04-12T14:24:08Z |
| format | Article |
| id | doaj.art-48d4cc974843407aa4df7eb2b407615c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T14:24:08Z |
| publishDate | 2010-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-48d4cc974843407aa4df7eb2b407615c2022-12-22T03:29:29ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-05-01201071,110Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^nMohammad KafiniIn this article, we consider a Cauchy problem for a viscoelastic wave equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we show that the rate of decay is exponential.http://ejde.math.txstate.edu/Volumes/2010/71/abstr.htmlDecayCauchy problemrelaxation functionviscoelastic |
| spellingShingle | Mohammad Kafini Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n Electronic Journal of Differential Equations Decay Cauchy problem relaxation function viscoelastic |
| title | Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n |
| title_full | Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n |
| title_fullStr | Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n |
| title_full_unstemmed | Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n |
| title_short | Exponential decay of solutions to a fourth-order viscoelastic evolution equation in R^n |
| title_sort | exponential decay of solutions to a fourth order viscoelastic evolution equation in r n |
| topic | Decay Cauchy problem relaxation function viscoelastic |
| url | http://ejde.math.txstate.edu/Volumes/2010/71/abstr.html |
| work_keys_str_mv | AT mohammadkafini exponentialdecayofsolutionstoafourthorderviscoelasticevolutionequationinrn |