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Gradient flows on Wasserstein space over abstract Wiener space
Shao Jinghai 1 * #,Karl-Theodor STURM 2
1.school of mathematics, Beijing Normal University
2.Institut f膗r Angewandte Mathematik, Universit腶t Bonn, DE-53115 Bonn, Germany
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,国家自然科学基金,教育部博士点基金(No.10721091,2006CB805901,20070027007)
Opened online:13 February 2009
Accepted by: none
Citation: Shao Jinghai ,Karl-Theodor STURM.Gradient flows on Wasserstein space over abstract Wiener space[OL]. [13 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28985
 
 
The properties of the space of all probability measures on the abstract Wiener space are studied. The relation between absolutely continuous curves and continuity equations is completed characterized, and the derivatives of Wasserstein distance along these curves are given. We extend Ambrosio-Gigli-Savare\\\
Keywords:Gradient flows;Wasserstein space;Wiener space;Continuity equations
 
 
 

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