Rate of decay for solutions of viscoelastic evolution equations
In this article we consider a Cauchy problem of a nonlinear viscoelastic equation of order four. Under suitable conditions on the initial data and the relaxation function, we prove polynomial and logarithmic decay of solutions.
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| Format: | Article |
| Language: | English |
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Texas State University
2013-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/134/abstr.html |
| _version_ | 1818206449560453120 |
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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 of a nonlinear viscoelastic equation of order four. Under suitable conditions on the initial data and the relaxation function, we prove polynomial and logarithmic decay of solutions. |
| first_indexed | 2024-12-12T04:13:12Z |
| format | Article |
| id | doaj.art-c54a33814f6f46acb599b57ed4d42463 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T04:13:12Z |
| publishDate | 2013-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-c54a33814f6f46acb599b57ed4d424632022-12-22T00:38:34ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-05-012013134,117Rate of decay for solutions of viscoelastic evolution equationsMohammad KafiniIn this article we consider a Cauchy problem of a nonlinear viscoelastic equation of order four. Under suitable conditions on the initial data and the relaxation function, we prove polynomial and logarithmic decay of solutions.http://ejde.math.txstate.edu/Volumes/2013/134/abstr.htmlDecayCauchy problemrelaxation functionviscoelastic |
| spellingShingle | Mohammad Kafini Rate of decay for solutions of viscoelastic evolution equations Electronic Journal of Differential Equations Decay Cauchy problem relaxation function viscoelastic |
| title | Rate of decay for solutions of viscoelastic evolution equations |
| title_full | Rate of decay for solutions of viscoelastic evolution equations |
| title_fullStr | Rate of decay for solutions of viscoelastic evolution equations |
| title_full_unstemmed | Rate of decay for solutions of viscoelastic evolution equations |
| title_short | Rate of decay for solutions of viscoelastic evolution equations |
| title_sort | rate of decay for solutions of viscoelastic evolution equations |
| topic | Decay Cauchy problem relaxation function viscoelastic |
| url | http://ejde.math.txstate.edu/Volumes/2013/134/abstr.html |
| work_keys_str_mv | AT mohammadkafini rateofdecayforsolutionsofviscoelasticevolutionequations |