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

From the Functions of bounded variation and free discontinuity problems. Function u is a function of bounded variation, u ∈ BV (Rn), if .. 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} . We study the The space of functions with bounded variation BV (Ω) contains discontinuous functions. An excellent account of the theory of BV functions. Functions of bounded variation and free discontinuity problems,. Results 1 - 10 of 327 CiteSeerX - Scientific documents that cite the following paper: Functions of bounded variations and free discontinuity problems. Fusco, N., and Pallara, D.: Functions of bounded variation and free discontinuity. 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. Pallara, Functions of Bounded Variation and Free-Discontinuity Problems., Oxford Mathematical Monographs. We analyze the energy method for inverse problems. It should serve as a standard reference, especially for the BV theory, for years to come. Formally to a free boundary problem for axisymmetric capillary surfaces in Miranda [10], or Ziemer [14] for background on functions of bounded variation.