Abstract
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.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Reference24 articles.
1. Curvature-Driven Flows: A Variational Approach
2. Ambrosio L.,
Gigli N. and
Savaré G., Gradient Flows in Metric Spaces and in the Space of Probability Measures.
Lect. Math. ETH
Zürich,
Birkhäuser
(2005).
3. Attouch H.,
Variational convergence for functions and operators.
Pitman (Advanced Publishing Program),
Boston, MA
(1984).
4. Braides A.,
Gamma-convergence for Beginners, vol. 22.
Oxford University Press
(2002).
5. Braides A., Local Minimization, Variational Evolution and Γ-Convergence. Vol. 2094 of
Lect. Notes Math.
Springer
(2012).
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