We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A non-local approximation of free discontinuity problems in SBV and SBD.
- Authors
Negri, Matteo
- Abstract
We consider a class of functionals which are defined in the spaces SBV and SBD and which do not depend on the traces u ± on the set of discontinuity points. In this work we prove that it is possible to approximate these energies, in the sense of Γ-convergence, by means of a family of non-local functionals defined in Sobolev spaces. Moreover we illustrate some applications for image processing and mechanics.
- Subjects
FUNCTIONALS; SOBOLEV spaces; FUNCTION spaces; STOCHASTIC convergence; IMAGE processing; FUNCTIONAL analysis; MECHANICS (Physics)
- Publication
Calculus of Variations & Partial Differential Equations, 2006, Vol 25, Issue 1, p33
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-005-0356-3