Weak and strong convergence of derivations and stability of flows with respect to MGH convergence

被引：23

作者：

Ambrosio, Luigi ^{[1
]}

Stra, Federico ^{[1
]}

Trevisan, Dario ^{[2
]}

机构：

[1] Scuola Normale Super Pisa, Pisa, Italy

[2] Univ Pisa, I-56100 Pisa, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 03期

关键词：

Derivations; Measured Gromov-Hausdorff convergence; Cheeger energy; METRIC MEASURE-SPACES; RICCI CURVATURE; CONTINUITY EQUATIONS;

D O I：

10.1016/j.jfa.2016.10.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of weak and strong convergence of derivations, and of the flows associated to them, when dealing with a sequence of metric measure structures (X, d, m(n)), m(n) weakly convergent to m. In particular, under curvature assumptions, either only on the limit metric structure (X, d, m) or on the whole sequence of metric measure spaces, we provide several stability results. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1182 / 1229

页数：48

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