Sweeping processes with prescribed behaviour on jumps

Vincenzo Recupero (1) , Filippo Santambrogio (2)

1 Polito - Politecnico di Torino = Polytechnic of Turin
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We present a generalized formulation of sweeping process where the behaviour of the solution is prescribed at the jump points of the driving moving set. An existence and uniqueness theorem for such formulation is proved. As a consequence we derive a formulation and an existence/uniqueness theorem for sweeping processes driven by an arbitrary BV moving set, whose evolution is not necessarily right continuous. Applications to the play operator of elastoplasticity are also shown.

Domaines: Optimisation et contrôle [math.OC]; Systèmes dynamiques [math.DS]; Analyse classique [math.CA]

Vincenzo Recupero, Filippo Santambrogio. Sweeping processes with prescribed behaviour on jumps. 2017. ⟨hal-01570514⟩