Asymptotic for the perturbed heavy ball system with vanishing damping term

Author:

Balti Mounir, ,May Ramzi, ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Modelling and Simulation

Reference10 articles.

1. On the minimizing properties of a second order dissipative system in Hilbert spaces,;F. Alvarez;SIAM J. Cont. Optim.,2000

2. Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity,;H. Attouch;Math Program Ser B,2016

3. The heavy ball with friction method, I: The continuous dynamical system: Global exploration of the the local minima of a real valued function by asymptotic analysis of a dissipative dynamical system,;H. Attouch;Commun. Contemp. Math.,2000

4. Asymptotic for a semilinear hyperbolic equation with asymptotically vanishing damping term, convex potential, and integrable source,;M. Balti;Submitted

5. Asymptotics for some semilinear hyperbolic equations with non-autonomous damping,;A. Cabot;J. Differential Equations,2012

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