Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach
2019 ◽
Vol 25
◽
pp. 28
Keyword(s):
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.