Minimizing flows for the monge-kantorovich problem

Minimizing flows for the monge-kantorovich problem

In this work, we formulate a new minimizing flow for the optimal mass transport (Monge--Kantorovich) problem. We study certain properties of the flow, including weak solutions as well as short- and long-term existence. Optimal transport has found a number of applications, including econometrics, flu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:SIAM journal on mathematical analysis 2003-01, Vol.35 (1), p.61-97
Hauptverfasser: ANGENENT, Sigurd, HAKER, Steven, TANNENBAUM, Allen
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Calculus of variations and optimal control
Euclidean space
Exact sciences and technology
Image processing
Information, signal and communications theory
Mathematical analysis
Mathematics
Sciences and techniques of general use
Signal processing
Statistical physics
Telecommunications and information theory
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this work, we formulate a new minimizing flow for the optimal mass transport (Monge--Kantorovich) problem. We study certain properties of the flow, including weak solutions as well as short- and long-term existence. Optimal transport has found a number of applications, including econometrics, fluid dynamics, cosmology, image processing, automatic control, transportation, statistical physics, shape optimization, expert systems, and meteorology.
ISSN:0036-1410
1095-7154
DOI:10.1137/s0036141002410927