Geodesic
Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping
Archivum mathematicum, Tome 46 (2010) no. 3, pp. 157-176

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zaraï [25].
Classification : 35A01, 35B40, 35L20, 35L70, 45K05, 74H25, 74K05
Keywords: Balakrishnan-Taylor damping; polynomial decay; memory term; viscoelasticity 
@article{ARM_2010__46_3_a0,
     author = {Zara{\"\i}, Abderrahmane and Tatar, Nasser-eddine},
     title = {Global existence and polynomial decay for a problem with {Balakrishnan-Taylor} damping},
     journal = {Archivum mathematicum},
     pages = {157--176},
     publisher = {mathdoc},
     volume = {46},
     number = {3},
     year = {2010},
     mrnumber = {2735903},
     zbl = {1240.35330},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_3_a0/}
}
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Zaraï, Abderrahmane; Tatar, Nasser-eddine. Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping. Archivum mathematicum, Tome 46 (2010) no. 3, pp. 157-176. http://geodesic.mathdoc.fr/item/ARM_2010__46_3_a0/