Archivio Istituzionale della RicercaWe provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of the existence and uniqueness of solutions for this formulation which relies on the reduction to the 1-Lipschitz continuous case by using a suitable family of geodesics for the asymmetric Hausdorff-like distance called excess.
Convex Valued Geodesics and Applications to Sweeping Processes with Bounded Retraction / Recupero, Vincenzo. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - STAMPA. - 27:2(2020), pp. 535-556.
Convex Valued Geodesics and Applications to Sweeping Processes with Bounded Retraction
Vincenzo Recupero
2020
Abstract
We provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of the existence and uniqueness of solutions for this formulation which relies on the reduction to the 1-Lipschitz continuous case by using a suitable family of geodesics for the asymmetric Hausdorff-like distance called excess.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2743217