Asymptotic behavior of second-order dissipative evolution equations combining potential with non-potential effects
In the setting of a real Hilbert space , we investigate the asymptotic behavior, as time goes to infinity, of trajectories of second-order evolution equations () + () + (()) + (()) = 0, where is the gradient operator of a convex differentiable potential function : ,: is a maximal monotone operator which is assumed to be-cocoercive, and > 0 is a damping parameter. Potential and non-potential effects are associated respectively...