The Resource Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization, Hedy Attouch, Giuseppe Buttazzo, Gérard Michaille, (electronic resource)

Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization, Hedy Attouch, Giuseppe Buttazzo, Gérard Michaille, (electronic resource)

Label
Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization
Title
Variational analysis in Sobolev and BV spaces
Title remainder
applications to PDEs and optimization
Statement of responsibility
Hedy Attouch, Giuseppe Buttazzo, Gérard Michaille
Creator
Contributor
Subject
Language
eng
Summary
This self-contained book is excellent for graduate-level courses devoted to variational analysis, optimization, and partial differential equations (PDEs). It provides readers with a complete guide to problems in these fields as well as a detailed presentation of the most important tools and methods of variational analysis. New trends in variational analysis are also presented, along with recent developments and applications in this area. It contains several applications to problems in geometry, mechanics, elasticity, and computer vision, along with a complete list of references. The book is divided into two parts. In Part I, classical Sobolev spaces are introduced and the reader is provided with the basic tools and methods of variational analysis and optimization in infinite dimensional spaces, with applications to classical PDE problems. In Part II, BV spaces are introduced and new trends in variational analysis are presented
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNvSL
http://library.link/vocab/creatorName
Attouch, H
Dewey number
519.6
Illustrations
illustrations
Index
index present
LC call number
QA402.5
LC item number
.A84 2006eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Buttazzo, Giuseppe
  • Michaille, Gérard
  • Society for Industrial and Applied Mathematics
Series statement
MPS-SIAM series on optimization
http://library.link/vocab/subjectName
  • Mathematical optimization
  • Calculus of variations
  • Sobolev spaces
  • Functions of bounded variation
  • Differential equations, Partial
Target audience
  • adult
  • specialized
Label
Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization, Hedy Attouch, Giuseppe Buttazzo, Gérard Michaille, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/mos-siam_series_on_optimization/mp06
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 615-629) and index
Color
black and white
Contents
  • 1. Introduction
  • Pt. 1. First part : basic variational principles. 2. Weak solutions methods in variational analysis -- 3. Abstract variational principles -- 4. Complements on measure theory -- 5. Sobolev spaces -- 6. Variational problems : ome classical examples -- 7. The finite element method -- 8. Spectral analysis of the laplacian -- 9. Convex duality and optimization
  • Pt. 2. Second part : Advanced variational analysis. 10. Spaces BV and SBV -- 11. Relaxation in Sobolev, BV and Young measures spaces -- 12. r-convergence and applications -- 13. Integral functionals of the calculus of variations -- 14. Application in mechanics and computer vision -- 15. Variational problems with a lack of coercivity -- 16. An introduction to shape optimization problems
Dimensions
unknown
Extent
1 electronic text (xii, 634 p. : ill.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898718782
Isbn Type
(electronic bk.)
Other control number
MP06
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • 3845031-01okla_normanlaw
  • (SIRSI)3845031
  • (Sirsi) i9780898718782
  • (CaBNvSL)gtp00544372
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader
Label
Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization, Hedy Attouch, Giuseppe Buttazzo, Gérard Michaille, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/mos-siam_series_on_optimization/mp06
Publication
Bibliography note
Includes bibliographical references (p. 615-629) and index
Color
black and white
Contents
  • 1. Introduction
  • Pt. 1. First part : basic variational principles. 2. Weak solutions methods in variational analysis -- 3. Abstract variational principles -- 4. Complements on measure theory -- 5. Sobolev spaces -- 6. Variational problems : ome classical examples -- 7. The finite element method -- 8. Spectral analysis of the laplacian -- 9. Convex duality and optimization
  • Pt. 2. Second part : Advanced variational analysis. 10. Spaces BV and SBV -- 11. Relaxation in Sobolev, BV and Young measures spaces -- 12. r-convergence and applications -- 13. Integral functionals of the calculus of variations -- 14. Application in mechanics and computer vision -- 15. Variational problems with a lack of coercivity -- 16. An introduction to shape optimization problems
Dimensions
unknown
Extent
1 electronic text (xii, 634 p. : ill.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898718782
Isbn Type
(electronic bk.)
Other control number
MP06
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • 3845031-01okla_normanlaw
  • (SIRSI)3845031
  • (Sirsi) i9780898718782
  • (CaBNvSL)gtp00544372
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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