Functions of Bounded Variation and Free Discontinuity Problems Diego Pallara, Luigi Ambrosio, Nicola Fusco
Publisher: Oxford Univ Pr

Quite natural, for it means that there can be discontinuities in the image but supported on rectifiable . Function u is a function of bounded variation, u ∈ BV (Rn), if .. Ambrosio, Fusco, and Pallara's Functions of Bounded Variation and Free Discontinuity Problems: David Caraballo was also the first to tell me about this book. Class of free discontinuity problems involving general energies associated to the . Luigi Ambrosio, Nicola Fusco, Diego Pallara. Almost every level set of a function of bounded variation has finite perimeter Free Discontinuity Problems, Oxford University Press. Functions of bounded variation and free discontinuity problems. Fusco, N., and Pallara, D.: Functions of bounded variation and free discontinuity. We first recall the definition of functions of bounded variation. Be a positive measure on it; prove that {L^1(X,mu)} contains a strictly positive function if and only if {X} is {sigma} -finite with respect to {mu} . Focardi, On the variational approximation of free-discontinuity problems in. Results 1 - 10 of 327 CiteSeerX - Scientific documents that cite the following paper: Functions of bounded variations and free discontinuity problems.