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 |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/134/abstr.html |
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doaj-c54a33814f6f46acb599b57ed4d424632020-11-24T23:25:43ZengTexas 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mohammad Kafini |
| spellingShingle |
Mohammad Kafini Rate of decay for solutions of viscoelastic evolution equations Electronic Journal of Differential Equations Decay Cauchy problem relaxation function viscoelastic |
| author_facet |
Mohammad Kafini |
| author_sort |
Mohammad Kafini |
| title |
Rate of decay for solutions of viscoelastic evolution equations |
| title_short |
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_sort |
rate of decay for solutions of viscoelastic evolution equations |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2013-05-01 |
| 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. |
| 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 |
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