Rectifiability of the distributional Jacobian for a class of functions

被引：16
|
作者：
Jerrard, RL [1 ]
Soner, HM
机构：
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 329卷 / 08期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/S0764-4442(00)88217-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define the class B2V of functions of bounded 2-dimensional variation, and we sketch the proof of a theorem showing that, for u is an element of B2V(R-3 ; S-perpendicular to), the distributional Jacobian of u is supported on a 1-dimensional rectifiable set. (C) 1999 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
引用
收藏
页码：683 / 688
页数：6
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