We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L-2-topology. We also show that the rescaled Allen-Cahn functionals approximate this relaxed functional in the sense of Gamma-convergence.
Approximation and relaxation of perimeter in the Wiener space
NOVAGA, MATTEO
2012
Abstract
We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L-2-topology. We also show that the rescaled Allen-Cahn functionals approximate this relaxed functional in the sense of Gamma-convergence.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
GN12b.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Accesso libero
Dimensione
274.36 kB
Formato
Adobe PDF
|
274.36 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
