Geodesic
Shape flows for spectral optimization problems
Dorin Bucur1 orcid ; Giuseppe Buttazzo2 ; Ulisse Stefanelli3 orcid
1Université de Savoie, Le Bourget Du Lac, France
2Università di Pisa, Italy
3Università di Pavia, Italy
Interfaces and free boundaries, Tome 14 (2012) no. 4, pp. 521-544

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DOI

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 capacitary measures with respect to the γ-convergence dissipation distance and with the evolution of domains in spectral optimization problems.
DOI : 10.4171/ifb/290
Classification : 49-XX, 53-XX, 58-XX, 00-XX
Mots-clés : shape optimization, spectral optimization, minimizing movements, curves of maximal slope, gradient flows, γ-convergence

Dorin Bucur  1   ; Giuseppe Buttazzo  2   ; Ulisse Stefanelli  3

1 Université de Savoie, Le Bourget Du Lac, France
2 Università di Pisa, Italy
3 Università di Pavia, Italy 
Dorin Bucur; Giuseppe Buttazzo; Ulisse Stefanelli. Shape flows for spectral optimization problems. Interfaces and free boundaries, Tome 14 (2012) no. 4, pp. 521-544. doi: 10.4171/ifb/290
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     year = {2012},
     volume = {14},
     number = {4},
     doi = {10.4171/ifb/290},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/290/}
}
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