Existence and Relaxation of BV Solutions for a Sweeping Process with a Nonconvex-Valued Perturbation
We study a measurable sweeping process with a multivalued perturbation in a separable Hilbert space. The values of the perturbation are closed, not necessarily convex sets. The retraction of the sweeping process is bounded by a positive Radon measure. A solution of the sweeping process is a pair consisting of a right c...