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

Florentine Fleißner

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arXiv · 1603.02822

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

Florentine Fleißner

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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.

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Florentine Fleißner. 2016-03-09. Gamma-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach. https://arxiv.org/abs/1603.02822

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