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Functions of Bounded Variation and Free Discontinuity Problems by Diego Pallara, Luigi Ambrosio, Nicola Fusco

Functions of Bounded Variation and Free Discontinuity Problems Diego Pallara, Luigi Ambrosio, Nicola Fusco ebook
Publisher: Oxford Univ Pr
ISBN: 0198502451, 9780198502456
Page: 454
Format: djvu

Conservation laws are special functions of bounded variation, with vanishing .. Pallara, Functions of Bounded Variation and Free Discontinuity Problems. Sometimes the equivalent of a conventional . The space SBV of Special functions of Bounded Variation, the subspace of BV functions with singular part of the This is the reason for the terminology free-discontinuity problem introduced by De Giorgi. Oxford University Press, Oxford (2000 ). Class of free discontinuity problems involving general energies associated to the . 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} . This is equivalent to weak star lower semicontinuity (cf Ambrosio, Fusco, Pallara Functions of Bounded Variation and free discontinuity problems). 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. L.Ambrosio, N.Fusco & D.Pallara, Functions of Bounded Variation and Free Discontinuity Problems,. Keywords: bounded variation, interfaces, free discontinuities, fracture me- chanics problems of image reconstruction, where the function which describes a pic-. Functions of Bounded Variation and Free Discontinuity Problems book . New York: The Clarendon Press, Oxford University Press; 2000. Functions of Bounded Variation and Free Discontinuity Problems. EDIT: The textbook is "Functions of Bounded Variation and Free Discontinuity Problems" by Luigi Ambrosio et. Keywords: fracture mechanics, cohesive zone models, functions of bounded variations, local minimizers, free discontinuity problems.