000  03205nam a22005415i 4500  

001  9783764373023  
003  DEHe213  
005  20180115171750.0  
007  cr nn 008mamaa  
008  100301s2005 sz  s  0eng d  
020 
_a9783764373023 _99783764373023 

024  7 
_a10.1007/b137039 _2doi 

050  4  _aQA315316  
050  4  _aQA402.3  
050  4  _aQA402.5QA402.6  
072  7 
_aPBKQ _2bicssc 

072  7 
_aPBU _2bicssc 

072  7 
_aMAT005000 _2bisacsh 

072  7 
_aMAT029020 _2bisacsh 

082  0  4 
_a515.64 _223 
100  1 
_aDavid, Guy. _eauthor. 

245  1  0 
_aSingular Sets of Minimizers for the MumfordShah Functional _h[electronic resource] / _cby Guy David. 
246  3  _aFerran Sunyer i Balaguer Award winning monograph  
264  1 
_aBasel : _bBirkhĂ¤user Basel, _c2005. 

300 
_aXIV, 581 p. _bonline resource. 

336 
_atext _btxt _2rdacontent 

337 
_acomputer _bc _2rdamedia 

338 
_aonline resource _bcr _2rdacarrier 

347 
_atext file _bPDF _2rda 

490  1 
_aProgress in Mathematics ; _v233 

505  0  _aPresentation of the MumfordShah Functional  Functions in the Sobolev Spaces W1,p  Regularity Properties for Quasiminimizers  Limits of AlmostMinimizers  Pieces of C1 Curves for AlmostMinimizers  Global MumfordShah Minimizers in the Plane  Applications to AlmostMinimizers (n = 2)  Quasi and AlmostMinimizers in Higher Dimensions  Boundary Regularity.  
520  _aAwardwinning monograph of the Ferran Sunyer i Balaguer Prize 2004. This book studies regularity properties of MumfordShah minimizers. The MumfordShah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. Some time is spent on the C^1 regularity theorem (with an essentially unpublished proof in dimension 2), but a good part of the book is devoted to applications of A. Bonnet's monotonicity and blowup techniques. In particular, global minimizers in the plane are studied in full detail. The book is largely selfcontained and should be accessible to graduate students in analysis.The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.  
650  0  _aMathematics.  
650  0  _aFunctional analysis.  
650  0  _aPartial differential equations.  
650  0  _aCalculus of variations.  
650  1  4  _aMathematics. 
650  2  4  _aCalculus of Variations and Optimal Control; Optimization. 
650  2  4  _aFunctional Analysis. 
650  2  4  _aPartial Differential Equations. 
710  2  _aSpringerLink (Online service)  
773  0  _tSpringer eBooks  
776  0  8 
_iPrinted edition: _z9783764371821 
830  0 
_aProgress in Mathematics ; _v233 

856  4  0  _uhttp://dx.doi.org/10.1007/b137039 
912  _aZDB2SMA  
999 
_c372845 _d372845 