Exponential decay of solutions with L p -norm for a class to semilinear wave equation with damping and source terms

Ouaoua, Amar and Maouni, Messaoud and Khaldi, Aya (2020) Exponential decay of solutions with L p -norm for a class to semilinear wave equation with damping and source terms. Open Journal of Mathematical Analysis, 4 (2). pp. 123-131. ISSN 26168103

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Abstract

In this paper, we consider an initial value problem related to a class of hyperbolic equation in a bounded domain is studied. We prove local existence and uniqueness of the solution by using the Faedo-Galerkin method and that the local solution is global in time. We also prove that the solutions with some conditions exponentially decay. The key tool in the proof is an idea of Haraux and Zuazua with is based on the construction of a suitable Lyapunov function.

Item Type: Article
Subjects: Pustakas > Mathematical Science
Depositing User: Unnamed user with email support@pustakas.com
Date Deposited: 04 Feb 2023 08:13
Last Modified: 26 Dec 2023 08:11
URI: http://archive.pcbmb.org/id/eprint/145

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