BV-norm continuity of sweeping processes driven by a set with constant shape

Abstract

We prove the BV-norm well posedness of sweeping processes driven by a moving convex set with constant shape, namely the BV-norm continuity of the so-called play operator of elasto-plasticity.

Minor corrections. To appear in "Journal of Differential Equations"

References in corpus (1)

• Existence of sweeping process in Banach spaces under directional prox-regularity

Cited by in corpus (4)

• Multidimensional play operators with arbitrary BV inputs
• Convex valued geodesics and applications to sweeping processes with bounded retraction
• Sweeping processes with prescribed behaviour on jumps
• Hysteresis and controllability of affine driftless systems: some case studie