Shape flows for spectral optimization problems

Details Shape flows for spectral optimization problems Shape flows for spectral optimization problems

2011-09-24

arxiv.org/abs/1109.5243v1

Mathematics

Analysis of PDEs

24 pages, 0 figures

Scientific paper

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.

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