Young Measures and Compactness in Measure Spaces / / Christiane Godet-Thobie, Liviu C. Florescu.
In recent years, technological progress created a great need for complex mathematical models. Many practical problems can be formulated using optimization theory and they hope to obtain an optimal solution. In most cases, such optimal solution can not be found. So, non-convex optimization problems (...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©2012 |
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Florescu, Liviu C., author. aut http://id.loc.gov/vocabulary/relators/aut Young Measures and Compactness in Measure Spaces / Christiane Godet-Thobie, Liviu C. Florescu. Berlin ; Boston : De Gruyter, [2012] ©2012 1 online resource (339 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Preface -- Contents -- Chapter 1. Weak Compactness in Measure Spaces -- Chapter 2. Bounded Measures on Topological Spaces -- Chapter 3. Young Measures -- Bibliography -- Index -- About the Authors restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In recent years, technological progress created a great need for complex mathematical models. Many practical problems can be formulated using optimization theory and they hope to obtain an optimal solution. In most cases, such optimal solution can not be found. So, non-convex optimization problems (arising, e.g., in variational calculus, optimal control, nonlinear evolutions equations) may not possess a classical minimizer because the minimizing sequences have typically rapid oscillations. This behavior requires a relaxation of notion of solution for such problems; often we can obtain such a relaxation by means of Young measures. This monograph is a self-contained book which gathers all theoretical aspects related to the defining of Young measures (measurability, disintegration, stable convergence, compactness), a book which is also a useful tool for those interested in theoretical foundations of the measure theory. It provides a complete set of classical and recent compactness results in measure and function spaces. The book is organized in three chapters: The first chapter covers background material on measure theory in abstract frame. In the second chapter the measure theory on topological spaces is presented. Compactness results from the first two chapters are used to study Young measures in the third chapter. All results are accompanied by full demonstrations and for many of these results different proofs are given. All statements are fully justified and proved. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) Mathematical optimization. Measure theory. Spaces of measures. Bounded Measures. Measure Spaces. Topological Spaces. Weak Compactness. Young Measures. MATHEMATICS / Functional Analysis. bisacsh Bounded Measure. Functional Analysis. Measure Space. Topological Space. Young Measure. Godet-Thobie, Christiane, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 9783110288995 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 9783110293722 ZDB-23-DMI Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 9783110288926 ZDB-23-DMP print 9783110276404 https://doi.org/10.1515/9783110280517 https://www.degruyter.com/isbn/9783110280517 Cover https://www.degruyter.com/document/cover/isbn/9783110280517/original |
language |
English |
format |
eBook |
author |
Florescu, Liviu C., Florescu, Liviu C., Godet-Thobie, Christiane, |
spellingShingle |
Florescu, Liviu C., Florescu, Liviu C., Godet-Thobie, Christiane, Young Measures and Compactness in Measure Spaces / Frontmatter -- Preface -- Contents -- Chapter 1. Weak Compactness in Measure Spaces -- Chapter 2. Bounded Measures on Topological Spaces -- Chapter 3. Young Measures -- Bibliography -- Index -- About the Authors |
author_facet |
Florescu, Liviu C., Florescu, Liviu C., Godet-Thobie, Christiane, Godet-Thobie, Christiane, Godet-Thobie, Christiane, |
author_variant |
l c f lc lcf l c f lc lcf c g t cgt |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Godet-Thobie, Christiane, Godet-Thobie, Christiane, |
author2_variant |
c g t cgt |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Florescu, Liviu C., |
title |
Young Measures and Compactness in Measure Spaces / |
title_full |
Young Measures and Compactness in Measure Spaces / Christiane Godet-Thobie, Liviu C. Florescu. |
title_fullStr |
Young Measures and Compactness in Measure Spaces / Christiane Godet-Thobie, Liviu C. Florescu. |
title_full_unstemmed |
Young Measures and Compactness in Measure Spaces / Christiane Godet-Thobie, Liviu C. Florescu. |
title_auth |
Young Measures and Compactness in Measure Spaces / |
title_alt |
Frontmatter -- Preface -- Contents -- Chapter 1. Weak Compactness in Measure Spaces -- Chapter 2. Bounded Measures on Topological Spaces -- Chapter 3. Young Measures -- Bibliography -- Index -- About the Authors |
title_new |
Young Measures and Compactness in Measure Spaces / |
title_sort |
young measures and compactness in measure spaces / |
publisher |
De Gruyter, |
publishDate |
2012 |
physical |
1 online resource (339 p.) |
contents |
Frontmatter -- Preface -- Contents -- Chapter 1. Weak Compactness in Measure Spaces -- Chapter 2. Bounded Measures on Topological Spaces -- Chapter 3. Young Measures -- Bibliography -- Index -- About the Authors |
isbn |
9783110280517 9783110238570 9783110238471 9783110637205 9783110288995 9783110293722 9783110288926 9783110276404 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA312 |
callnumber-sort |
QA 3312 F56 42012 |
url |
https://doi.org/10.1515/9783110280517 https://www.degruyter.com/isbn/9783110280517 https://www.degruyter.com/document/cover/isbn/9783110280517/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110280517 |
oclc_num |
796384258 |
work_keys_str_mv |
AT floresculiviuc youngmeasuresandcompactnessinmeasurespaces AT godetthobiechristiane youngmeasuresandcompactnessinmeasurespaces |
status_str |
n |
ids_txt_mv |
(DE-B1597)175563 (OCoLC)796384258 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 |
is_hierarchy_title |
Young Measures and Compactness in Measure Spaces / |
container_title |
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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