Abstract

In this work we consider a nonlinear hyperbolic equations of Kirch-hoff type in viscoelasticity. By using the potential well theory we obtain the existence of a global solution. Then, we prove the intrinsic decays for the energy of the nonlinear hyperbolic equations of Kirchhoff type in viscoelasticity of relaxation kernels described by the inequality for all with H convex.

How to Cite
ALAEDDINE, Draifia. Global Existence and Intrinsic Decay Rates for the Energy of a Kirchhoff Type in a Nonlinear Viscoelastic Equation. Global Journal of Science Frontier Research, [S.l.], feb. 2021. ISSN 2249-4626. Available at: <https://journalofscience.org/index.php/GJSFR/article/view/2889>. Date accessed: 05 mar. 2021.