We present new abstract results on the interrelation between the minimizing movement scheme for gradient flows along a sequence of Γ-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.
Accepté le :
DOI : 10.1051/cocv/2017035
Mots-clés : Gradient flows, minimizing movements, Γ-convergence, relaxation, curves of maximal slope
@article{COCV_2019__25__A28_0,
author = {Flei{\ss}ner, Florentine},
title = {\ensuremath{\Gamma}-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {25},
year = {2019},
doi = {10.1051/cocv/2017035},
zbl = {1442.49017},
mrnumber = {3990648},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv/2017035/}
}
TY - JOUR AU - Fleißner, Florentine TI - Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2019 VL - 25 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2017035/ DO - 10.1051/cocv/2017035 LA - en ID - COCV_2019__25__A28_0 ER -
%0 Journal Article %A Fleißner, Florentine %T Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach %J ESAIM: Control, Optimisation and Calculus of Variations %D 2019 %V 25 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2017035/ %R 10.1051/cocv/2017035 %G en %F COCV_2019__25__A28_0
Fleißner, Florentine. Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 28. doi : 10.1051/cocv/2017035. http://www.numdam.org/articles/10.1051/cocv/2017035/
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