A characterization of generalized functions of bounded deformation

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2026-05-01 Epub Date: 2026-02-06 DOI:10.1016/j.jfa.2026.111391

Antonin Chambolle , Vito Crismale

引用次数: 0

Abstract

We show that Dal Maso's GBD space, introduced for tackling crack growth in linearized elasticity, can be defined by simple conditions in a finite number of directions of slicing.

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一类有界变形广义函数的刻画

我们证明了Dal Maso的GBD空间，用于处理线性化弹性中的裂纹扩展，可以用有限个切片方向上的简单条件来定义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis