Well-Posedness and Stability for a System of Klein-Gordon Equations
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Published:2022-02-07
Issue:
Volume:20
Page:10
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
Author:
Latioui Naaima,Guesmia Amar,Ouaoua Amar
Abstract
In this paper, we study the weak existence of solution for a non-linear hyperbolic coupled system of Klein-Gordon equations with memory and source terms using the Faedo-Galerkin method techniques and compactness results, we have demonstrated the uniqueness of the solution by using the classical technique. In addition, we show that the solution remains stable over time. The reaction of the proper Lyapunov function is the primary tool of the proof.
Publisher
SCIK Publishing Corporation