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A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term

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Abstract

We consider a quasilinear heat system in the presence of an integral term and establish a general and optimal decay result from which improves and generalizes several stability results in the literature.

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Acknowledgements

The authors thank KFUPM and Lorraine-Metz uinversity for their continuous support. This work has been finalized during the visit of the third author to KFUPM in December 2016 and during the scholarship of the first author in Lorraine-Metz in 2016–2017.

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Correspondence to Aissa Guesmia.

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This work has been partially funded by KFUPM under Project # IN161006.

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Youkana, A., Messaoudi, S.A. & Guesmia, A. A General Decay and Optimal Decay Result in a Heat System with a Viscoelastic Term. Acta Math Sci 39, 618–626 (2019). https://doi.org/10.1007/s10473-019-0223-5

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  • DOI: https://doi.org/10.1007/s10473-019-0223-5

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