A LUSIN TYPE THEOREM FOR GRADIENTS

被引:73
作者
ALBERTI, G
机构
[1] Scuola Normale Superiore, 56126 Pisa
关键词
D O I
10.1016/0022-1236(91)90104-D
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that for every Borel vector field f, there exists a function u of class C1 whose gradient Du agrees with f outside a set of arbitrary small measure. © 1991.
引用
收藏
页码:110 / 118
页数:9
相关论文
共 5 条
[1]  
BREZIS H, 1973, ANAL FONCTIONNELLE T
[2]   INTEGRAL-REPRESENTATION AND RELAXATION OF LOCAL FUNCTIONALS [J].
BUTTAZZO, G ;
DALMASO, G .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1985, 9 (06) :515-532
[3]  
DELLACHERIE C, 1978, MATH STUDIES, V29
[4]  
RUDINW, 1973, FUNCTIONAL ANAL
[5]  
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