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

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

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Draifia Alaeddine

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

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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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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

draifia_alaeddine. 2021. \u201cGlobal Existence and Intrinsic Decay Rates for the Energy of a Kirchhoff Type in a Nonlinear Viscoelastic Equation\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 21 (GJSFR Volume 21 Issue F1).

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GJSFR Volume 21 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification MSC 2010: 47N70

Submission ReceivedJanuary 4, 2021
Peer Review Double Blind
Handling Editor
Accepted January 27, 2021
Published February 6, 2021

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v1.2

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February 12, 2021

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