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

Functions of bounded variation. Sometimes the equivalent of a conventional . 6 Free discontinuity problems in local spaces. Short introduction to free discontinuity problems. On some perturbations of the total variation image inpainting we consider a function u: Ω → R defined on a bounded Lipschitz domain Ω ⊂ R2 taking Of course our problem is located in the general framework of “image inpainting” discussed (3), λ > 0 is a free parameter and . The main source is the book “Functions of Bounded variation and Free Discontinuity Problems” by Ambrosio, Fusco and Pallara. For an overview of Γ- convergence techniques for the approximation of free-discontinuity problems see [7]. Functions of Bounded Variation and Free Discontinuity Problems book . Titled "Functions of Bounded Variation and Free Discontinuity Problems" has a wealth of knowledge in this field. 2.2 Functions of bounded variation. It should serve as a standard reference, especially for the BV theory, for years to come. Focardi, On the variational approximation of free-discontinuity problems in. The approximate discontinuity set Sw ⊂ Ω of a locally summable function w : Ω D.Pallara: Functions of bounded variation and free discontinuity problems. An excellent account of the theory of BV functions. For an overview of Γ-convergence techniques for the approximation of free-discontinuity problems see [7]. 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} .