The System Of Gradient Flows On Metric Spaces And Its Gamma-Convergence

碩士 === 輔仁大學 === 數學系研究所 === 100 === In this manuscript, we introduce the systems of gradient flows on metric spaces and then we investigate an upper control for one form of velocity of solutions by its dissipation rate of energy functional. This paper essentially presents the abstract structure of ”G...

Full description

Bibliographic Details
Main Authors: Lu, Bocheng, 盧柏誠
Other Authors: Chang, Maosheng
Format: Others
Language:en_US
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/28068623835908488135
Description
Summary:碩士 === 輔仁大學 === 數學系研究所 === 100 === In this manuscript, we introduce the systems of gradient flows on metric spaces and then we investigate an upper control for one form of velocity of solutions by its dissipation rate of energy functional. This paper essentially presents the abstract structure of ”Gamma-convergence of gradient flow systems on metric spaces”. The approach is based on the notion initiated by Sylvia Serfaty.