We consider a class of functionals which are defined in the spaces SBV and SBD and which do not depend on the traces of u on the set of discontinuity points. In this work we prove that it is possible to approximate these energies, in the sense of Gamma-convergence, by means of a family of non-local functionals defined in Sobolev spaces. Moreover we illustrate some applications for image processing and mechanics.

A non-local approximation of free discontinuity problems in SBV and SBD

NEGRI, MATTEO
2006-01-01

Abstract

We consider a class of functionals which are defined in the spaces SBV and SBD and which do not depend on the traces of u on the set of discontinuity points. In this work we prove that it is possible to approximate these energies, in the sense of Gamma-convergence, by means of a family of non-local functionals defined in Sobolev spaces. Moreover we illustrate some applications for image processing and mechanics.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/114110
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 25
  • ???jsp.display-item.citation.isi??? 22
social impact