Shape flows for spectral optimization problems

Abstract

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.

24 pages, 0 figures

References in corpus (1)

• Shape Optimization Problems with Internal Constraint