Regularity of weak solutions to rate-independent systems in one-dimension

被引：1

作者：

Mach Nguyet Minh ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2014年 / 287卷 / 11-12期

关键词：

Regularity; weak solutions; energetic solutions; rate-independent systems; SBV; piecewise C-1; EXISTENCE; MODELS;

D O I：

10.1002/mana.201300032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that under some appropriate assumptions, every weak solution (e.g. energetic solution) to a given rate-independent system is of class SBV, or has finite jumps, or is even piecewise C-1. Our assumption is essentially imposed on the energy functional, but not convexity is required. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1341 / 1362

页数：22

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