A variational view at the time-dependent minimal surface equation (Articolo in rivista)

Type
Label
  • A variational view at the time-dependent minimal surface equation (Articolo in rivista) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/s00028-011-0111-5 (literal)
Alternative label
  • Spadaro E., Stefanelli U. (2011)
    A variational view at the time-dependent minimal surface equation
    in Journal of evolution equations (Print. ed.); Springer Basel, Basel (Swaziland)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Spadaro E., Stefanelli U. (literal)
Pagina inizio
  • 793 (literal)
Pagina fine
  • 809 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://link.springer.com/article/10.1007%2Fs00028-011-0111-5 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 11 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 4 (literal)
Note
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Hausdorff Center for Mathematics, Endenicher Allee 60, D-53115 Bonn, Germany; IMATI-CNR, v. Ferrata 1, I-27100 Pavia, Italy (literal)
Titolo
  • A variational view at the time-dependent minimal surface equation (literal)
Abstract
  • We present a global variational approach to the L 2-gradient flow of the area functional of cartesian surfaces through the study of the so-called weighted energy-dissipation (WED) functional. In particular, we prove a relaxation result which allows us to show that minimizers of the WED converge in a quantitatively prescribed way to gradient-flow trajectories of the relaxed area functional. The result is then extended to general parabolic quasilinear equations arising as gradient flows of convex functionals with linear growth. (literal)
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