A variational principle for gradient flows in metric spaces (Articolo in rivista)

Type
Label
  • A variational principle for gradient flows in metric spaces (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.crma.2011.11.002 (literal)
Alternative label
  • Rossi R., Savaré G., Segatti A., Stefanelli U. (2011)
    A variational principle for gradient flows in metric spaces
    in Comptes rendus. Mathématique; Elsevier Masson SAS, Issy les Moulineaux (Francia)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Rossi R., Savaré G., Segatti A., Stefanelli U. (literal)
Pagina inizio
  • 1225 (literal)
Pagina fine
  • 1228 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://www.sciencedirect.com/science/article/pii/S1631073X11003116 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 349 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 23-24 (literal)
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica, Università di Brescia, Italy; Dipartimento di Matematica, Università di Pavia, Italy; IMATI - CNR, Pavia, Italy; WIAS, Berlin, Germany. (literal)
Titolo
  • A variational principle for gradient flows in metric spaces (literal)
Abstract
  • We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, we advance a functional defined on entire trajectories, whose minimizers converge to curves of maximal slope for geodesically convex energies. The crucial step of the argument is the reformulation of the variational approach in terms of a dynamic programming principle, and the use of the corresponding Hamilton-Jacobi equation. The result is applicable to a large class of nonlinear evolution PDEs including nonlinear drift-diffusion, Fokker-Planck, and heat flows on metric-measure spaces (literal)
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