Results 241 to 250 of about 590,396 (265)

Functions of Bounded Variation and Free Discontinuity Problems

2000
Abstract This book deals with a class of mathematical problems which involve the minimization of the sum of a volume and a surface energy and have lately been refered to as 'free discontinuity problems'. The aim of this book is twofold: The first three chapters present all the basic prerequisites for the treatment of free discontinuity ...
AMBROSIO, Luigi, FUSCO N., PALLARA D.
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On the approximation of free discontinuity problems

1992
This paper compliments another one of the authors [Commun. Pure Appl. Math. 43, No. 8, 999-1036 (1990; Zbl 0722.49020)] both concerning the approximation (in the sense of \(\Gamma\)-convergence) of the Mumford-Shah type functional (or rather its lower semicontinuous envelope) by elliptic functionals which formally have simpler form.
AMBROSIO L, TORTORELLI, VINCENZO MARIA
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Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms

The results on $\Gamma$-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions.
G. Maso, Davide Donati
semanticscholar   +1 more source

Functions of Bounded Variation and Free Discontinuity Problems

2020
Functions of bounded variation were introduced by C. Jordan in connexion with Dirichlet's test for the convergence of Fourier series. However, the modern definition of functions of bounded variation ($BV$ functions in the sequel) is due to the works of E.
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FUNCTIONS OF BOUNDED VARIATION AND FREE DISCONTINUITY PROBLEMS (Oxford Mathematical Monographs)

, 2001
Ronald F. Gariepy
semanticscholar   +1 more source

Partial regularity in free discontinuity problems

1996
Editors: M.
AMBROSIO L, PALLARA, Diego
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The Space SBV(Ω) and Free Discontinuity Problems

1993
This paper deals with variational problems which have among the unknowns an hypersurface. In order to deal with these problems, it has been introduced in [15] the space SBV(Ω) of “special” functions with bounded variation. By summarizing the results of [2] and [4], we recall here the definition and the main compactness properties of SBV(Ω). In addition,
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Free discontinuity problems and their non-local approximation

2000
Following a notation introduced by De Giorgi, we denote by “free discontinuity problems” all the problems in the calculus of variations where the unknown is a pair (uK)withKvarying in a class of closed subsets of a fixed open set Ω ⊂ Rnand u: Ω\K→Rm is a function in some function space (e.g., u ∈ C1,p (Ω\K))or u ∈W 1,p n(Ω\K)).
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Finite element approximation of non-isotropic free-discontinuity problems

1997
We study a discretization procedure, using finite elements, for a class of non-isotropic free-discontinuity problems based on the non-local approximation we proposed in a previous paper.
CORTESANI G, TOADER, Rodica
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Local interpolation techniques for higher-order singular perturbations of non-convex functionals: free-discontinuity problems

Journal des Mathématiques Pures et Appliquées
M. Solci
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