Published Paper
Inserted: 24 sep 2011
Last Updated: 26 sep 2013
Journal: Interfaces Free Bound.
Volume: 14
Pages: 521--544
Year: 2013
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.
Keywords: Gradient flows, minimizing movements, shape optimization, spectral optimization
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