# Shape flows for spectral optimization problems

Bucur, Dorin and Buttazzo, Giuseppe and Stefanelli, Ulisse (2011) Shape flows for spectral optimization problems. arXiv .

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## Abstract

SUMMARY 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.

Item Type: Article Imported from arXiv Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA dott.ssa Sandra Faita 05 Aug 2013 12:49 05 Aug 2013 12:49 http://eprints.adm.unipi.it/id/eprint/1338

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