J 2023

Continuity of the non-convex play operator in the space of rectifiable curves

KOPFOVÁ, Jana and Vincenzo RECUPERO

Basic information

Original name

Continuity of the non-convex play operator in the space of rectifiable curves

Authors

KOPFOVÁ, Jana (703 Slovakia, belonging to the institution) and Vincenzo RECUPERO (380 Italy, guarantor)

Edition

Applications of Mathematics, Springer Science and Business Media Deutschland GmbH, 2023, 0862-7940

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10102 Applied mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19610/23:A0000137

Organization unit

Mathematical Institute in Opava

DOI

Keywords in English

evolution variational inequalities; functions of bounded variation; play operator; prox-regular set; sweeping processes

Tags

Tags

International impact, Reviewed
Změněno: 27/3/2024 14:35, Mgr. Aleš Ryšavý

Abstract

V originále

We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV-norm and to the BV-strict metric in the space of rectifiable curves, i.e., in the space of continuous functions of bounded variation. We do not assume any further regularity of the characteristic set. We also prove that the non-convex play operator is rate independent.