LEADER 02800nam 2200637 450 001 996466869703316 005 20220420184506.0 010 $a3-540-68714-9 024 7 $a10.1007/BFb0097344 035 $a(CKB)1000000000437318 035 $a(SSID)ssj0000321377 035 $a(PQKBManifestationID)12083771 035 $a(PQKBTitleCode)TC0000321377 035 $a(PQKBWorkID)10263105 035 $a(PQKB)11077408 035 $a(DE-He213)978-3-540-68714-6 035 $a(MiAaPQ)EBC5586158 035 $a(MiAaPQ)EBC6691797 035 $a(Au-PeEL)EBL5586158 035 $a(OCoLC)1066185987 035 $a(Au-PeEL)EBL6691797 035 $a(PPN)15518881X 035 $a(EXLCZ)991000000000437318 100 $a20220420d1998 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aApproximation of free-discontinuity problems /$fAndrea Braides 205 $a1st ed. 1998. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[1998] 210 4$dİ1998 215 $a1 online resource (XIV, 154 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1694 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-64771-6 320 $aIncludes bibliographical references (pages [145]-148) and index. 327 $aFunctions of bounded variation -- Special functions of bounded variation -- Examples of approximation -- A general approach to approximation -- Non-local approximation. 330 $aFunctionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1694 606 $aFunctions of bounded variation 606 $aConvergence 606 $aCalculus of variations 615 0$aFunctions of bounded variation. 615 0$aConvergence. 615 0$aCalculus of variations. 676 $a515/.64 700 $aBraides$b Andrea$062002 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466869703316 996 $aApproximation of free-discontinuity problems$978855 997 $aUNISA