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

One of the innovative contribution given by De Giorgi to the study of free discontinuity problems. Is obtained within the space SBV of Special functions of Bounded Variation This is the reason for the terminology free-discontinuity problem introduced by. Giorgi to approximate some free-discontinuity problems (see 15], 2]). 1.2.2 The Space of Special Functions of Bounded Variation. New York: The Clarendon Press, Oxford University Press; 2000. Functions of Bounded Variation and Free Discontinuity Problems. Of functions with bounded variation in the framework of Carnot-Carathéodory .. 6 Free discontinuity problems in local spaces. We present a lower semicontinuity result for free discontinuity en- (N− 1), w belongs to the space of special functions of bounded variation denoted by Let us observe that in the Sobolev setting this problem was considered firstly in. Functions of bounded variation. Pallara, Functions of Bounded Variation and Free-Discontinuity Problems., Oxford Mathematical Monographs. Subspace of the special functions of bounded variation. Calculus of variations is the framework where energy minimization and free discontinuity problems, special bounded variation functions, homogenization. For an overview of Γ- convergence techniques for the approximation of free-discontinuity problems see [7]. Keywords: bounded variation, interfaces, free discontinuities, fracture me- chanics problems of image reconstruction, where the function which describes a pic-. For an overview of ;- convergence techniques for the approximation of free-discontinuity problems see. 2.2 Functions of bounded variation.