Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping

Abderrahmane Zaraï; Nasser-eddine Tatar

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 3, page 157-176
  • ISSN: 0044-8753

Abstract

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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].

How to cite

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Zaraï, Abderrahmane, and Tatar, Nasser-eddine. "Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping." Archivum Mathematicum 046.3 (2010): 157-176. <http://eudml.org/doc/116480>.

@article{Zaraï2010,
abstract = {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].},
author = {Zaraï, Abderrahmane, Tatar, Nasser-eddine},
journal = {Archivum Mathematicum},
keywords = {Balakrishnan-Taylor damping; polynomial decay; memory term; viscoelasticity; Balakrishnan-Taylor damping; polynomial decay; memory term; viscoelasticity},
language = {eng},
number = {3},
pages = {157-176},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping},
url = {http://eudml.org/doc/116480},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Zaraï, Abderrahmane
AU - Tatar, Nasser-eddine
TI - Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 3
SP - 157
EP - 176
AB - 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].
LA - eng
KW - Balakrishnan-Taylor damping; polynomial decay; memory term; viscoelasticity; Balakrishnan-Taylor damping; polynomial decay; memory term; viscoelasticity
UR - http://eudml.org/doc/116480
ER -

References

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