Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity

Article type: Research Article

Authors: Kakumani, Bhargav Kumar^{; *} | Yadav, Suman Prabha

Affiliations: Department of Mathematics, BITS-Pilani, Hyderabad Campus, Hyderabad, India

Correspondence: [*] Corresponding author. E-mail: bhargav@hyderabad.bits-pilani.ac.in.

Abstract: In this article, we consider a viscoelastic plate equation with a logarithmic nonlinearity in the presence of nonlinear frictional damping term. Here we prove the existence of the solution to the problem using the Faedo–Galerkin method. Also, we prove few general decay rate results.

Keywords: Viscoelasticity, global existence, decay estimates, convexity, logarithmic nonlinearity

DOI: 10.3233/ASY-231859

Journal: Asymptotic Analysis, vol. 135, no. 3-4, pp. 399-419, 2023