Non-convex sweeping processes in the space of regulated functions
| Autor: | Krejci, P, Monteiro, Ga, Recupero, V |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Popis: | The aim of this paper is to study a wide class of non-convex sweeping processes with moving constraint whose translation and deformation are represented by regulated functions, i.e., functions of not necessarily bounded variation admitting one-sided limits at every point. Assuming that the time-dependent constraint is uniformly prox-regular and has uniformly non-empty interior, we prove existence and uniqueness of solutions, as well as continuous data dependence with respect to the sup-norm. Lemma 3.1, Proposition 3.2 and Theorem 4.2 have been improved; the final part of the proof of Theorem 4.2 has been expanded. Some typos are now corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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