Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization /
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| Author / Creator: | Attouch, H., author. |
|---|---|
| Edition: | Second edition. |
| Imprint: | Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics, 2014. |
| Description: | 1 online resource (xii, 793 pages) |
| Language: | English |
| Series: | MOS-SIAM series on optimization ; 17 MOS-SIAM series on optimization ; 17. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/12577538 |
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| 100 | 1 | |a Attouch, H., |e author. |0 http://id.loc.gov/authorities/names/n84216380 | |
| 245 | 1 | 0 | |a Variational analysis in Sobolev and BV spaces : |b applications to PDEs and optimization / |c Hedy Attouch, Université Montpellier II, Montpellier, France, Giuseppe Buttazzo, Università di Pisa, Pisa, Italy, Gérard Michaille, Université Montpellier II, Montpellier, France. |
| 250 | |a Second edition. | ||
| 264 | 1 | |a Philadelphia, Pennsylvania : |b Society for Industrial and Applied Mathematics, |c 2014. | |
| 300 | |a 1 online resource (xii, 793 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a MOS-SIAM series on optimization ; |v 17 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Preface to the second edition -- Preface to the first edition -- Introduction -- Basic variational principles -- Weak solution methods in variational analysis -- Abstract variational principles -- Complements on measure theory -- Sobolev spaces -- Variational problems : some classical examples -- The finite element method -- Spectral analysis of the laplacian -- Convex duality and optimization -- Advanced variational analysis -- Spaces BV and SBV -- Relaxation in Sobolev, BV, and young measures spaces -- [gamma]-convergence and applications -- Integral functionals of the calculus of variations -- Applications in mechanics and computer vision -- Variational problems with a lack of coercivity -- An introduction to shape optimization problems -- Gradient flows -- Bibliography -- Index. | |
| 520 | 3 | |a This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision. | |
| 500 | |a Title from title screen, viewed 7/22/2014. | ||
| 650 | 0 | |a Mathematical optimization. |0 http://id.loc.gov/authorities/subjects/sh85082127 | |
| 650 | 0 | |a Function spaces. |0 http://id.loc.gov/authorities/subjects/sh85052310 | |
| 650 | 0 | |a Calculus of variations. |0 http://id.loc.gov/authorities/subjects/sh85018809 | |
| 650 | 0 | |a Sobolev spaces. |0 http://id.loc.gov/authorities/subjects/sh85123836 | |
| 650 | 0 | |a Functions of bounded variation. |0 http://id.loc.gov/authorities/subjects/sh85052355 | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 650 | 6 | |a Optimisation mathématique. | |
| 650 | 6 | |a Espaces fonctionnels. | |
| 650 | 6 | |a Calcul des variations. | |
| 650 | 6 | |a Espaces de Sobolev. | |
| 650 | 6 | |a Fonctions à variation bornée. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 7 | |a Calculus of variations |2 fast | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Function spaces |2 fast | |
| 650 | 7 | |a Functions of bounded variation |2 fast | |
| 650 | 7 | |a Mathematical optimization |2 fast | |
| 650 | 7 | |a Sobolev spaces |2 fast | |
| 700 | 1 | |a Buttazzo, Giuseppe, |e author. |0 http://id.loc.gov/authorities/names/n88031883 | |
| 700 | 1 | |a Michaille, Gérard, |e author. |0 http://id.loc.gov/authorities/names/n2005054374 | |
| 710 | 2 | |a Society for Industrial and Applied Mathematics, |e publisher. |0 http://id.loc.gov/authorities/names/n79053057 | |
| 776 | 0 | 8 | |i Print version: |z 1611973473 |z 9781611973471 |w (DLC) 2014012612 |
| 830 | 0 | |a MOS-SIAM series on optimization ; |v 17. |0 http://id.loc.gov/authorities/names/no2013030447 | |
| 856 | 4 | 0 | |u https://epubs.siam.org/doi/book/10.1137/1.9781611973488 |y Society for Industrial and Applied Mathematics |
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| 928 | |t Library of Congress classification |a QA402.5.A84 2014eb |l Online |c UC-FullText |u https://epubs.siam.org/doi/book/10.1137/1.9781611973488 |z Society for Industrial and Applied Mathematics |g ebooks |i 12568922 | ||