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
Format: djvu
Page: 454
ISBN: 0198502451, 9780198502456

Functions of bounded variation and free discontinuity problems SUBJECT(S): Calculus of variations; Functions of bounded variation. One of the innovative contribution given by De Giorgi to the study of free discontinuity problems. 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. Results 1 - 10 of 327 CiteSeerX - Scientific documents that cite the following paper: Functions of bounded variations and free discontinuity problems. Title: Functions of bounded variation and free discontinuity problems. A common framework for this is Tikhonov regularization [ 1] of the corresponding inverse problem. Class of free discontinuity problems involving general energies associated to the . 1.2.2 The Space of Special Functions of Bounded Variation. Regularization, which allows for discontinuous solutions. 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} . Author: Ambrosio, Luigi, Nicola Fusco, Diego Pallara. Keywords: fracture mechanics, cohesive zone models, functions of bounded variations, local minimizers, free discontinuity problems. The resulting simple algorithm accurately differentiates noisy functions, including those which have a discontinuous derivative. VARIATIONAL PROBLEMS IN SPACES OF VECTOR.