Calculus of Variations and Geometric Measure Theory
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F. Flei├čner

$\Gamma$-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach

created by flei├čner on 29 Nov 2017

[BibTeX]

Accepted Paper

Inserted: 29 nov 2017
Last Updated: 29 nov 2017

Journal: ESAIM:COCV
Year: 2016
Doi: 10.1051/cocv/2017035

ArXiv: 1603.02822 PDF

Abstract:

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.

Keywords: $\Gamma$-convergence, Gradient flows, Curves of maximal slope, minimizing movements

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