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一类有界变形广义函数的刻画

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
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引用次数: 0

摘要

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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A characterization of generalized functions of bounded deformation
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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来源期刊
Journal of Functional Analysis
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
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