General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient

Abstract

In this paper, we consider a plate equation as a model for a suspension bridge with a general nonlinear internal feedback and time-varying weight. Under some conditions on the feedback and the coefficient functions, we establish a general decay estimate for the associated energy functional, from which the exponential and the polynomial, are particular cases.

Keywords

• Suspension bridge
• Plate equation
• General decay
• Varying-time weight
• Internal feedback