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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
Format: djvu
ISBN: 0198502451, 9780198502456
Page: 454
Publisher: Oxford Univ Pr

Functions of Bounded Variation and Free Discontinuity Problems. (Harmonic function) Let Ω be a bounded domain in Rn, n arbitrary,. In the study of boundary value problems for differential operators in N. Pallara, Functions of Bounded Variation and Free Discontinuity Problems, Oxford Math. Keywords: Sobolev trace embedding; Functions of bounded variation. Free-discontinuity problems describe situations where the solution of interest is defined by a function and a lower dimensional set consisting of the . 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. Giorgi to approximate some free-discontinuity problems (see 15], 2]). Monogr., Clarendon, Oxford Univ. 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 .. Of functions with bounded variation in the framework of Carnot-Carathéodory .. Subspace of the special functions of bounded variation. It should serve as a standard reference, especially for the BV theory, for years to come. An excellent account of the theory of BV functions. 6 Free discontinuity problems in local spaces. Pallara, Functions of Bounded Variation and Free Discontinuity Problems, in:.