Inserted: 25 jul 2004
Last Updated: 23 dec 2008
Journal: ``Calculus of Variations: Topics from the Mathematical Heritage of Ennio De Giorgi'', D. Pallara ed., Quaderni di Matematica, 14, Dipartimento di Matematica Seconda Universita' di Napoli.
In this paper we unify general properties of functionals depending on first and second derivatives together with free discontinuities and free gradient discontinuities. The framework has an interest in itself, nevertheless the scheme includes many relevant applications to image processing and continuum mechanics.
Keywords: free discontinuity problems