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

2016/03/17 by Luigi Ambrosio, Ambrosio, Luigi, Federico Stra +3 · 2 citations
Mathematics · #35K90 #49J52 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Functional Equations Stability Results #Metric Geometry (math.MG) #Nonlinear Differential Equations Analysis #math.AP #math.FA #math.MG #msc:35K90 #msc:49J52

paper · pdf · doi:10.48550/arxiv.1603.05561

openalex publication_date 2016/03/17 · arxiv created 2016/10/14 · arxiv updated 2016/10/17 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions
• Stability of local Riemannian Ricci curvature lower bounds

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