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

A common framework for this is Tikhonov regularization [ 1] of the corresponding inverse problem. Ambrosio to the study of free discontinuity problems is the development of the space of Special functions of Bounded. Fusco, N., and Pallara, D.: Functions of bounded variation and free discontinuity. Keywords: fracture mechanics, cohesive zone models, functions of bounded variations, local minimizers, free discontinuity problems. 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. Function u is a function of bounded variation, u ∈ BV (Rn), if .. 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. 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 resulting simple algorithm accurately differentiates noisy functions, including those which have a discontinuous derivative. 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. Regularization, which allows for discontinuous solutions.