Fast Convergence of an Inertial Gradient-like System with Vanishing Viscosity

Hedy Attouch, Juan Peypouquet, Patrick Redont

In a real Hilbert space $\mathcal{H}$, we study the fast convergence properties as $t\to +\infty$ of the trajectories of the second-order evolution equation $$ \ddot{x}(t) + \frac…