Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity

2022/06/25 by Bhargav Kumar Kakumani, Kakumani, Bhargav Kumar, Suman Prabha Yadav +1
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2206.12561

openalex publication_date 2022/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we consider a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity. We prove explicit and general decay rate results of the solution to the viscoelastic plate equation with past history. Convex properties, logarithmic inequalities, and generalised Young's inequality are mainly used to prove the decay estimate.

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