Global existence and decay estimates for the viscoelastic kirchhoff\n equation with a delay term

2019/11/08 by Noureddine Sebih, Sebih, Noureddine, Abdelhamid Mohammed Djaouti +3
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods for differential equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1911.03581

openalex publication_date 2019/11/08 · openalex created_date 2022/09/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a viscoelastic kirchhoff equation with a delay\nterm in the internal feedback. By using the Faedo-Galarkin approximation method\nwe prove the well-posedness of the global solutions. Introducing suitable\nenergy, we prove the general uniform decay results.\n

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