Lipschitz continuous data dependence of sweeping processes in BV spaces. (English) Zbl 1214.49022
Summary: For a rate independent sweeping process with a time dependent smooth convex constraint, we prove that the Kurzweil solution for possibly discontinuous inputs depends locally Lipschitz continuously on the data in terms of the \(BV\)-norm.
MSC:
49K40 | Sensitivity, stability, well-posedness |