Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density

Affiliations

Cavalcanti Marcelo M.: Department of Mathematics, State University of Maringá, Maringá - PR, 87020-900, Brazil
Domingos Cavalcanti Valéria N.: Department of Mathematics, State University of Maringá, Maringá - PR, 87020-900, Brazil
Lasiecka Irena: Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA; and IBS, Polish Academy of Sciences, Warsaw, Poland
Webler Claudete M.: Department of Mathematics, State University of Maringá, Maringá - PR, 87020-900, Brazil

Abstract

We consider the long-time behavior of a nonlinear PDE with a memory term which can be recast in the abstract form