Lyapunov functions for evolution variational inequalities with locally prox-regular sets
- Resource Type
- Authors
- Hantoute, Abderrahim; Mazade, Marc
- Source
- Subject
- Asymptotic behaviour
34A60 - 49J52 - 49J20
Hypomonotonicity
Lyapunov pair
Differential inclusions
Uniformly prox-regular set
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Proximal normal cone
Evolution variational inequalities
- Language
- English
This paper is devoted on the one hand to the study of specific properties of an evolution variational inequality, holding in the Hilbert setting. We give on the other hand a general criterion for Lyapunov pairs of this dynamical system and some results on the asymptotic behaviour of the solution.