A differential equation approach to implicit sweeping processes - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Differential Equations Année : 2019

A differential equation approach to implicit sweeping processes

Résumé

In this paper, we study an implicit version of the sweeping process. Based on methods of convex analysis, we prove the equivalence of the implicit sweeping process with a differential equation, which enables us to show the existence and uniqueness of the solution to the implicit sweeping process in a very general framework. Moreover, this equivalence allows us to give a characterization of nonsmooth Lyapunov pairs and invariance for implicit sweeping processes. The results of the paper are illustrated with two applications to quasistatic evolution variational inequalities and electrical circuits.

Dates et versions

hal-01961594 , version 1 (20-12-2018)

Identifiants

Citer

Abderrahim Jourani, Emilio Vilches. A differential equation approach to implicit sweeping processes. Journal of Differential Equations, 2019, 266 (8), pp.5168-5184. ⟨10.1016/j.jde.2018.10.024⟩. ⟨hal-01961594⟩
49 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More