NON-CONVEX SWEEPING PROCESSES IN THE SPACE OF REGULATED FUNCTIONS

Pavel Krej?í; Giselle Antunes Monteiro; Vincenzo Recupero

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NON-CONVEX SWEEPING PROCESSES IN THE SPACE OF REGULATED FUNCTIONS

机译：NON-CONVEX SWEEPING PROCESSES IN THE SPACE OF REGULATED FUNCTIONS

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摘要

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.

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《Communications on pure and applied analysis》 |2022年第9期|2999-3029|共31页
作者
Pavel Krej?í; Giselle Antunes Monteiro; Vincenzo Recupero;
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作者单位

Faculty of Civil Engineering, Czech Technical University Thákurova 7, 16629 Praha 6, Czech Republic;

Institute of Mathematics, Czech Academy of Sciences ?itná 25, 11567 Praha 1, Czech Republic;

Dipartimento di Scienze Matematiche, Politecnico di Torino Corso Duca degli Abruzzi 24, 10129 Torino, Italy;

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正文语种英语
中图分类数学;
关键词
Evolution variational inequalities; sweeping processes; regulated functions; prox-regular sets; normal cones;

NON-CONVEX SWEEPING PROCESSES IN THE SPACE OF REGULATED FUNCTIONS

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