Global Existence and Intrinsic Decay Rates for the Energy of a Kirchhoff Type in a Nonlinear Viscoelastic Equation

Authors

  • Draifia Alaeddine

Keywords:

global existence, exponential decay, polynomial decay, viscoelastic damping, intrinsic decay rates

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.

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How to Cite

Draifia Alaeddine. (2021). Global Existence and Intrinsic Decay Rates for the Energy of a Kirchhoff Type in a Nonlinear Viscoelastic Equation. Global Journal of Science Frontier Research, 21(F1), 27–53. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/2889

 
Global Existence and Intrinsic Decay Rates for the Energy of a Kirchhoff Type in a Nonlinear Viscoelastic Equation

Published

2021-01-15

Issue

Vol. 21 No. F1 (2021): GJSFR-F Mathematics: Volume 21 Issue F1

Section

Articles

License

Copyright (c) 2021 Authors and Global Journals Private Limited

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.