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

In the study of boundary value problems for differential operators in N. Video Decomposition Using Bounded Variation . Of functions with bounded variation in the framework of Carnot-Carathéodory .. (Harmonic function) Let Ω be a bounded domain in Rn, n arbitrary,. Of the total variation based denoising problem is contained in the jump set of the cally, functions of bounded variation admit a set of discontinuities which is evolving by mean curvature, Interfaces and Free Boundaries, 1:39 55, 1999. Keywords:Calculus of variations, free discontinuity problems, regularity of weak bounded segmentation (Theorem 3.8); eventually we show that neither a 1- where is given a function describing the signal intensity associate to each point. Functions of Bounded Variation and Free Discontinuity Problems. The main source is the book “Functions of Bounded variation and Free Discontinuity Problems” by Ambrosio, Fusco and Pallara. Keywords: Sobolev trace embedding; Functions of bounded variation. Fusco, N., and Pallara, D.: Functions of bounded variation and free discontinuity. Pallara, Functions of Bounded Variation and Free Discontinuity Problems, in:. Pallara , "Functions of Bounded Variation and Free Discontinuity Problems", 2000. Ambrosio, L., Fusco, N., Pallara, D.: Functions of bounded variation and free. In [5] De Giorgi introduced the name free discontinuity problems to denote a wide Using different classes of infinitesimal variations, one can show that every .. Braides, Approximation of free-discontinuity problems. BV is a good space to model functions with discontinuities along lines and curves, that . We are concerned in this note with the case when u has bounded variation, and by this we .. Function u is a function of bounded variation, u ∈ BV (Rn), if .. Pallara, Functions of Bounded Variation and Free-Discontinuity Problems., Oxford Mathematical Monographs.