| Issue |
ESAIM: COCV
Volume 25, 2019
|
|
|---|---|---|
| Article Number | 28 | |
| Number of page(s) | 29 | |
| DOI | https://doi.org/10.1051/cocv/2017035 | |
| Published online | 09 August 2019 | |
Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach
Zentrum Mathematik der Technischen Universität München,
Boltzmannstraße 3,
85748
Garching bei München, Germany.
* Corresponding author: fleissne@ma.tum.de
Received:
10
March
2016
Accepted:
24
April
2017
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.
Mathematics Subject Classification: 35K55 / 35K90 / 49M25 / 47J25 / 47J30
Key words: Gradient flows / minimizing movements / Γ-convergence / relaxation / curves of maximal slope
© EDP Sciences, SMAI 2019
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