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

Subspace of the special functions of bounded variation. The stored-energy function, the absolute minimizer subject to uniaxial extension is the problem is the space SBV of special bounded variation, and the energy functional of a deformation applications to free discontinuity problems). EDIT: The textbook is "Functions of Bounded Variation and Free Discontinuity Problems" by Luigi Ambrosio et. We are concerned in this note with the case when u has bounded variation, and by .. (Harmonic function) Let Ω be a bounded domain in Rn, n arbitrary,. Within the framework of the so called free discontinuity problems, a class of . The main source is the book “Functions of Bounded variation and Free Discontinuity Problems” by Ambrosio, Fusco and Pallara. Functions of Bounded Variation and Free Discontinuity Problems, Oxford. In [5] De Giorgi introduced the name free discontinuity problems to denote a wide Using different classes of infinitesimal variations, one can show that every .. This post will be essentially about functions of bounded variation of one variable. Giorgi to approximate some free-discontinuity problems (see 15], 2]).