Γ-CONVERGENCE AND RELAXATIONS FOR GRADIENT FLOWS IN METRIC SPACES: A MINIMIZING MOVEMENT APPROACH

被引：5
|
作者：
Fleissner, Florentine [1 ]
机构：
[1] Tech Univ Munich, Zentrum Math, Boltzmannstr 3, D-85748 Garching, Germany
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2019年 / 25卷
关键词：
Gradient flows; minimizing movements; Gamma-convergence; relaxation; curves of maximal slope; HILBERT;
D O I：
10.1051/cocv/2017035
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We present new abstract results on the interrelation between the minimizing movement scheme for gradient flows along a sequence of Gamma-converging functionals and the gradient flow motion for the corresponding limit functional, in a general metric space. We are able to allow a relaxed form of minimization in each step of the scheme, and so we present new relaxation results too.
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页数：29
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