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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 . Subspace of the special functions of bounded variation. Ambrosio to the study of free discontinuity problems is the development of the space of Special functions of Bounded. Results 1 - 10 of 327 CiteSeerX - Scientific documents that cite the following paper: Functions of bounded variations and free discontinuity problems. Giorgi to approximate some free-discontinuity problems (see 15], 2]). AbeBooks.com: Functions of Bounded Variation and Free Discontinuity Problems : 452 págs. This post will be essentially about functions of bounded variation of one variable. Class of free discontinuity problems involving general energies associated to the . The main source is the book “Functions of Bounded variation and Free Discontinuity Problems” by Ambrosio, Fusco and Pallara. Regularization, which allows for discontinuous solutions. A common framework for this is Tikhonov regularization [ 1] of the corresponding inverse problem. That is, the derivative of a function 𝑓 , say on [ 0 , 𝐿 ] , is The functional 𝐹 is defined on 𝐵 𝑉 [ 0 , 𝐿 ] , the space of functions of bounded variation. The resulting simple algorithm accurately differentiates noisy functions, including those which have a discontinuous derivative. Almost every level set of a function of bounded variation has finite perimeter Free Discontinuity Problems, Oxford University Press.