Volume 25, 2019
|Number of page(s)||29|
|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,
Garching bei München, Germany.
* Corresponding author: firstname.lastname@example.org
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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