Communications in Mathematical Analysis

Geometric and Topological Properties of Exponent Related Dynamic Evolution

X. Y. Lu

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Abstract

In this paper we consider the discrete dynamic evolution of a connected network related to an average distance functional minimization problem, with associated dissipation term, under irreversibility assumption. We will analyze its geometric and topological properties, and study whether it inherits regularity properties verified by the static or quasi static case.

Article information

Source
Commun. Math. Anal., Volume 12, Number 2 (2012), 102-119.

Dates
First available in Project Euclid: 16 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.cma/1331929874

Mathematical Reviews number (MathSciNet)
MR2905134

Zentralblatt MATH identifier
1260.49082

Subjects
Primary: 49Q10
Secondary: 49J40 49L15

Keywords
optimal transport Euler scheme dynamic evolution average distance

Citation

Lu, X. Y. Geometric and Topological Properties of Exponent Related Dynamic Evolution. Commun. Math. Anal. 12 (2012), no. 2, 102--119. https://projecteuclid.org/euclid.cma/1331929874


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