The continuity equation on metric measure spaces

被引：25

作者：

Gigli, Nicola ^{[1
]}

Han, Bang-Xian ^{[2
]}

机构：

[1] Univ Nice, Nice, France

[2] Univ Paris 09, Paris, France

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 53卷 / 1-2期

关键词：

35Fxx; 30Lxx;

D O I：

10.1007/s00526-014-0744-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to show that it makes sense to write the continuity equation on a metric measure space and that absolutely continuous curves w.r.t. the distance can be completely characterized as solutions of the continuity equation itself, provided we impose the condition for every and some C > 0.

引用

页码：149 / 177

页数：29

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