Draifia Alaeddine, Intrinsic decay rates for the energy of a nonlinear viscoelastic equation with Kirchhoff type damping, Vol. 2020 (2020), Article ID 19, pp. 1-20

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DOI: 10.23952/cot.2020.19

Received March 22, 2020; Accepted August 29, 2020; Published September 28, 2020

Abstract. In this paper, the intrinsic decay rates for the energy of a nonlinear viscoelastic equation with the kirchhoff type damping of relaxation kernels described by the inequality $g^{\prime }\left( t\right) \leq -H\left( g\left( t\right) \right)$ for all $t\geq 0,$ with $H$ convex is proved.

How to Cite this Article:
Draifia Alaeddine, Intrinsic decay rates for the energy of a nonlinear viscoelastic equation with Kirchhoff type damping, Communications in Optimization Theory, Vol. 2020 (2020), Article ID 19, pp. 1-20.