IST Austria Library

Singular Sets of Minimizers for the Mumford-Shah Functional (Record no. 372845)

000 -LEADER
fixed length control field 03205nam a22005415i 4500
001 - CONTROL NUMBER
control field 978-3-7643-7302-3
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20180115171750.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2005 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783764373023
-- 978-3-7643-7302-3
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/b137039
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA315-316
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA402.3
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA402.5-QA402.6
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKQ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBU
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT005000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT029020
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.64
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name David, Guy.
Relator term author.
245 10 - TITLE STATEMENT
Title Singular Sets of Minimizers for the Mumford-Shah Functional
Medium [electronic resource] /
Statement of responsibility, etc. by Guy David.
246 3# - VARYING FORM OF TITLE
Title proper/short title Ferran Sunyer i Balaguer Award winning monograph
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Basel :
Name of producer, publisher, distributor, manufacturer Birkhäuser Basel,
Date of production, publication, distribution, manufacture, or copyright notice 2005.
300 ## - PHYSICAL DESCRIPTION
Extent XIV, 581 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Progress in Mathematics ;
Volume/sequential designation 233
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Presentation of the Mumford-Shah Functional -- Functions in the Sobolev Spaces W1,p -- Regularity Properties for Quasiminimizers -- Limits of Almost-Minimizers -- Pieces of C1 Curves for Almost-Minimizers -- Global Mumford-Shah Minimizers in the Plane -- Applications to Almost-Minimizers (n = 2) -- Quasi- and Almost-Minimizers in Higher Dimensions -- Boundary Regularity.
520 ## - SUMMARY, ETC.
Summary, etc. Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2004. This book studies regularity properties of Mumford-Shah minimizers. The Mumford-Shah 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 blow-up techniques. In particular, global minimizers in the plane are studied in full detail. The book is largely self-contained 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Partial differential equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Calculus of variations.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Calculus of Variations and Optimal Control; Optimization.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Partial Differential Equations.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783764371821
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Progress in Mathematics ;
Volume number/sequential designation 233
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/b137039">http://dx.doi.org/10.1007/b137039</a>
912 ## -
-- ZDB-2-SMA
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Date last seen Price effective from Koha item type
  Not Lost     EBook e-Library e-Library 2018-01-15 2018-01-15 2018-01-15 eBook

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