Well-Posedness of solutions for a wave equation with internal distributed delay

Baibeche Sabah; Karek Chafia; Bouzettouta Lamine

doi:10.59287/as-abstracts.923

Well-Posedness of solutions for a wave equation with internal distributed delay

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Authors

Baibeche Sabah Aepartment of mathematics /Laboratory of Applied Mathematics and History and Didactics of Mathematics, University of 20 August 1955, Algeria
Karek Chafia Department of mathematics /Laboratory of Applied Mathematics and History and Didactics of Mathematics, University of 20 August 1955, Algeria
Bouzettouta Lamine Department of mathematics /Laboratory of Applied Mathematics and History and Didactics of Mathematics, University of 20 August 1955, Algeria

DOI:

https://doi.org/10.59287/as-abstracts.923

Keywords:

Wave Equation, Bounded Domain, Well Posedness, Internal Distributed Delay

Abstract

In this study, a wave equation with internal distributed delay and a bounded domain are taken into consideration. Under some appropriate circumstances, the solution's existence and uniqueness are established. In addition, we demonstrate the existence and uniqueness of the problem's solution using semigroup theory, and we establish a time estimate for the explosion of the problem's solutions in Sobolev spaces using H. Levine's concavity theorem.

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Published

2023-06-25

How to Cite

Sabah , B., Chafia, K., & Lamine, B. (2023). Well-Posedness of solutions for a wave equation with internal distributed delay. All Sciences Abstracts, 1(3), 2. https://doi.org/10.59287/as-abstracts.923