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Lyapunov functions for evolution variational inequalities with locally prox-regular sets
Working paper   Open access

Lyapunov functions for evolution variational inequalities with locally prox-regular sets

Abderrahim Hantoute and Marc Mazade

Abstract

Evolution variational inequalities Lyapunov pair Asymptotic behaviour Differential inclusions Proximal normal cone Uniformly prox-regular set Hypomonotonicity Asymptotic behaviour. 34A60 - 49J52 - 49J20
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.
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