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010   $a3-540-68714-9
024 7 $a10.1007/BFb0097344
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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
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100   $a20121227d1998      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aApproximation of Free-Discontinuity Problems /$fby Andrea Braides
205   $a1st ed. 1998.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998.
215   $a1 online resource (XIV, 154 p.) 
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1694
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$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,$x1617-9692 ;$v1694
606   $aDifferential equations
606   $aNumerical analysis
606   $aMathematical physics
606   $aDifferential Equations
606   $aNumerical Analysis
606   $aTheoretical, Mathematical and Computational Physics
615  0$aDifferential equations.
615  0$aNumerical analysis.
615  0$aMathematical physics.
615 14$aDifferential Equations.
615 24$aNumerical Analysis.
615 24$aTheoretical, Mathematical and Computational Physics.
676   $a515/.64
700   $aBraides$b Andrea$062002
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146305403321
996   $aApproximation of free-discontinuity problems$978855
997   $aUNINA