Calculus of Variations and Geometric Measure Theory
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L. Ambrosio - F. Stra - D. Trevisan

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

created by trevisan on 17 Mar 2016
modified on 03 Oct 2016

[BibTeX]

Submitted Paper

Inserted: 17 mar 2016
Last Updated: 3 oct 2016

Year: 2016

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 $(X,\mathsf{d},\mathfrak{m}_n)$, $\mathfrak{m}_n$ weakly convergent to $\mathfrak{m}$. In particular, under curvature assumptions, either only on the limit metric structure $(X,\mathsf{d},\mathfrak{m})$ or on the whole sequence of metric measure spaces, we provide several stability results.

Keywords: metric measure spaces, ODE flow, MGH convergence, convergence of flows


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