Calculus of Variations and Geometric Measure Theory

V. Recupero - F. Santambrogio

Sweeping processes with prescribed behaviour on jumps

created by santambro on 30 Jul 2017
modified on 29 Jan 2018


Accepted Paper

Inserted: 30 jul 2017
Last Updated: 29 jan 2018

Journal: Annali di Matematica Pura ed Applicata
Year: 2018


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.