Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity

TL;DR

This paper proves the global existence and decay rates for solutions to a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity, using the Faedo-Galerkin method.

Contribution

It introduces new decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity, extending previous results.

Findings

Global existence of solutions established

Decay rate results proved

Applicable to nonlinear damping and logarithmic nonlinearities

Abstract

In this article, we consider a viscoelastic plate equation with a logarithmic nonlinearity in the presence of nonlinear frictional damping term. Using the the Faedo-Galerkin method we establish the global existence of the solution of the problem and we also prove few general decay rate results.