Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 21, pp. 1-24.

Title: Nonstationary Lame system without definite sign energy
       
Authors: Manuel Milla Miranda (Univ. Estadual da Paraiba, PB, Brazil)
         Aldo T. Louredo (Univ. Estadual da Paraiba, PB, Brazil)
         Marcondes R. Clark (Univ. Federal do Piaui, PI, Brazil)
         Giovana Siracusa (Univ. Federal de Sergipe, SE, Brazil)

Abstract:  
This article concerns the existence and decay of solutions of a nonstationary Lame system.
This system has a nonlinear perturbation that produces an energy without definite sign.
We consider displacement and traction conditions at the boundary and a general nonlinear 
boundary damping. We also obtain exponential decay of the energy.

Submitted March 29, 2021. Published March 18, 2022.
Math Subject Classifications: 35L15, 35L20, 35K55, 35L60, 35L70.
Key Words: Nonlinear elasticity; mixed boundary conditions; existence of solutions.