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Approximation of free-discontinuity problems / Andrea Braides

Auteur principal : Braides, Andrea, 1961-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 1694Langue : anglais.Pays : Allemagne.Éditeur : Berlin : Springer, 1998Description : 1 vol. (XI-148 p.) ; 24 cmISBN : 9783540647713.ISSN : 0075-8434.Bibliographie : Bibliogr. p. [145]-148. Index.Sujet MSC : 49-02, Calculus of variations and optimal control; optimization, Research exposition (monographs, survey articles)
49J45, Calculus of variations and optimal control; optimization -- Existence theories, Methods involving semicontinuity and convergence; relaxation
74Rxx, Mechanics of deformable solids, Fracture and damage
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Bibliogr. p. [145]-148. Index

This book is devoted to the approximation of free discontinuity problems in the calculus of variations. The basic example of such a problem is described by a functional which involves both a bulk energy and a surface energy (and possibly lower order terms). Interesting applications and motivations for these models can be found, for instance, in the study of multi-phase systems, fracture mechanics and image reconstruction in computer vision. ... (MathSciNet)

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