Gamma-convergence of gradient flows on Hilbert and metric spaces and applications

  title={Gamma-convergence of gradient flows on Hilbert and metric spaces and applications},
  author={Sylvia Serfaty},
We are concerned with Γ-convergence of gradient flows, which is a notion meant to ensure that if a family of energy functionals depending of a parameter Γ-converges, then the solutions to the associated gradient flows converge as well. In this paper we present both a review of the abstract “theory” and of the applications it has had, and a generalization of the scheme to metric spaces which has not appeared elsewhere. We also mention open problems and perspectives. Γ-convergence was introduced… CONTINUE READING


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