Shape flows for spectral optimization problems

  • Dorin Bucur

    Université de Savoie, Le Bourget Du Lac, France
  • Giuseppe Buttazzo

    Università di Pisa, Italy
  • Ulisse Stefanelli

    Università di Pavia, Italy


We consider a general formulation of gradient flow evolution for problems whose natural framework is the one of metric spaces. The applications we deal with are concerned with the evolution of capacitary measures with respect to the γ\gamma-convergence dissipation distance and with the evolution of domains in spectral optimization problems.

Cite this article

Dorin Bucur, Giuseppe Buttazzo, Ulisse Stefanelli, Shape flows for spectral optimization problems. Interfaces Free Bound. 14 (2012), no. 4, pp. 521–544

DOI 10.4171/IFB/290