Calculus of Variations and Geometric Measure Theory

D. Bucur - G. Buttazzo - U. Stefanelli

Shape flows for spectral optimization problems

created by buttazzo on 24 Sep 2011
modified by stefanell on 26 Sep 2013


Published Paper

Inserted: 24 sep 2011
Last Updated: 26 sep 2013

Journal: Interfaces Free Bound.
Volume: 14
Pages: 521--544
Year: 2013


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 {\it capacitary measures} with respect to the $\gamma$-convergence dissipation distance and with the evolution of domains in spectral optimization problems.

Keywords: Gradient flows, minimizing movements, shape optimization, spectral optimization