02802nam 2200637 450 991014630540332120220420184506.03-540-68714-910.1007/BFb0097344(CKB)1000000000437318(SSID)ssj0000321377(PQKBManifestationID)12083771(PQKBTitleCode)TC0000321377(PQKBWorkID)10263105(PQKB)11077408(DE-He213)978-3-540-68714-6(MiAaPQ)EBC5586158(MiAaPQ)EBC6691797(Au-PeEL)EBL5586158(OCoLC)1066185987(Au-PeEL)EBL6691797(PPN)15518881X(EXLCZ)99100000000043731820220420d1998 uy 0engurnn|008mamaatxtccrApproximation of free-discontinuity problems /Andrea Braides1st ed. 1998.Berlin, Germany ;New York, New York :Springer,[1998]©19981 online resource (XIV, 154 p.) Lecture Notes in Mathematics,0075-8434 ;1694Bibliographic Level Mode of Issuance: Monograph3-540-64771-6 Includes bibliographical references (pages [145]-148) and index.Functions of bounded variation -- Special functions of bounded variation -- Examples of approximation -- A general approach to approximation -- Non-local approximation.Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.Lecture Notes in Mathematics,0075-8434 ;1694Functions of bounded variationConvergenceCalculus of variationsFunctions of bounded variation.Convergence.Calculus of variations.515/.64Braides Andrea62002MiAaPQMiAaPQMiAaPQBOOK9910146305403321Approximation of free-discontinuity problems78855UNINA