HYSTERESIS OPERATORS IN METRIC SPACES

被引：3

作者：

Recupero, Vincenzo ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat, I-10129 Turin, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2015年 / 8卷 / 04期

关键词：

Rate independence; hysteresis; metric spaces; sweeping processes; BV SOLUTIONS; EVOLUTION;

D O I：

10.3934/dcdss.2015.8.773

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the sweeping processes, we develop an abstract theory of continuous hysteresis operators acting between rectifiable curves with values in metric spaces. In particular we study the continuity properties of such operators and how they can be extended from the space of Lipschitz continuous functions to the space of rectifiable curves. Applications to the sweeping processes and to the vector play operator are shown.

引用

页码：773 / 792

页数：20

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