Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity
Analysis of PDEs
2022-06-28 v1
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.
Keywords
Cite
@article{arxiv.2206.12561,
title = {Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity},
author = {Bhargav Kumar Kakumani and Suman Prabha Yadav},
journal= {arXiv preprint arXiv:2206.12561},
year = {2022}
}