Functions of bounded variation and free discontinuity problems / Luigi Ambrosio, Nicola Fusco, Diego Pallara

Auteur: Ambrosio, Luigi (1963-) - AuteurCo-auteur: Fusco, Nicola (1956-) - Auteur ; Pallara, Diego (1960-) - AuteurType de document: Monographie Collection: Oxford mathematical monographs Langue: anglaisPays: Etats UnisÉditeur: New York : Oxford University Press, 2000Description: 1 vol. (XVIII-434 p.) : ill. ; 24 cm ISBN: 9780198502456 ; rel. Note: The book is divided into two parts, the first one dealing with the theory of functions of bounded variation, the second part gives insight in a class of variational problems which involve the minimization of the sum of a volume and a surface energy (“free discontinuity problems”) and which have been object of intensive research of the three authors over the last years. ... The book can be highly recommended not only to experts in variational calculus: the clear and attractive style makes the material understandable also for graduate students who want to get familiar with the ideas which are behind and around problems like image segmentation. On the other hand, the systematic approach towards the theory of BV-functions presented in the first half of the monograph, puts the book on top of the list of standard references for spaces of BV-type. It should also be noted that a list of nearly 280 references is given and that each chapter is followed by a collection of “exercises” which sometimes are not easy to solve. (Zentralblatt)Bibliographie: Bibliogr. p. [419]-430. Index. Sujets MSC: 49-02 Calculus of variations and optimal control; optimization -- Research exposition (monographs, survey articles)
26-02 Real functions -- Research exposition (monographs, survey articles)
49J10 Calculus of variations and optimal control; optimization -- Existence theories -- Free problems in two or more independent variables
49Q20 Calculus of variations and optimal control; optimization -- Manifolds -- Variational problems in a geometric measure-theoretic setting
49J45 Calculus of variations and optimal control; optimization -- Existence theories -- Methods involving semicontinuity and convergence; relaxation
En-ligne: Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle R 00435-01 / 49 AMB (Browse Shelf) Available
Salle R 00435-02 / 49 AMB (Browse Shelf) Available

The book is divided into two parts, the first one dealing with the theory of functions of bounded variation, the second part gives insight in a class of variational problems which involve the minimization of the sum of a volume and a surface energy (“free discontinuity problems”) and which have been object of intensive research of the three authors over the last years. ... The book can be highly recommended not only to experts in variational calculus: the clear and attractive style makes the material understandable also for graduate students who want to get familiar with the ideas which are behind and around problems like image segmentation. On the other hand, the systematic approach towards the theory of BV-functions presented in the first half of the monograph, puts the book on top of the list of standard references for spaces of BV-type. It should also be noted that a list of nearly 280 references is given and that each chapter is followed by a collection of “exercises” which sometimes are not easy to solve. (Zentralblatt)

Bibliogr. p. [419]-430. Index

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