Second order sweeping process with almost convex perturbation

Abstract

In this work, we consider an evolution differential inclusion known as the perturbed second order nonconvex sweeping process for a class of subsmooth moving sets. The right-hand side contains a set-valued perturbation with almost-convex values, which is a strictly weaker condition than the standard assumption of convexity.In this work, we consider an evolution differential inclusion known as the perturbed second order nonconvex sweeping process for a class of subsmooth moving sets. The right-hand side contains a set-valued perturbation with almost-convex values, which is a strictly weaker condition than the standard assumption of convexity.