English

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

Analysis of PDEs 2022-01-05 v1

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.

Keywords

Cite

@article{arxiv.2201.00983,
  title  = {Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity},
  author = {Bhargav Kumar Kakumani and Suman Prabha Yadav},
  journal= {arXiv preprint arXiv:2201.00983},
  year   = {2022}
}