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 (...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©2012 |
Year of Publication: | 2012 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (339 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
LEADER | 05572nam a22009735i 4500 | ||
---|---|---|---|
001 | 9783110280517 | ||
003 | DE-B1597 | ||
005 | 20211129102213.0 | ||
006 | m|||||o||d|||||||| | ||
007 | cr || |||||||| | ||
008 | 211129t20122012gw fo d z eng d | ||
010 | |a 2012001629 | ||
019 | |a (OCoLC)840444063 | ||
020 | |a 9783110280517 | ||
024 | 7 | |a 10.1515/9783110280517 |2 doi | |
035 | |a (DE-B1597)175563 | ||
035 | |a (OCoLC)796384258 | ||
040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
041 | 0 | |a eng | |
044 | |a gw |c DE | ||
050 | 0 | 0 | |a QA312 |b .F56 2012 |
072 | 7 | |a MAT037000 |2 bisacsh | |
084 | |a SK 430 |2 rvk |0 (DE-625)rvk/143239: | ||
100 | 1 | |a Florescu, Liviu C., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Young Measures and Compactness in Measure Spaces / |c Christiane Godet-Thobie, Liviu C. Florescu. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2012] | |
264 | 4 | |c ©2012 | |
300 | |a 1 online resource (339 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Chapter 1. Weak Compactness in Measure Spaces -- |t Chapter 2. Bounded Measures on Topological Spaces -- |t Chapter 3. Young Measures -- |t Bibliography -- |t Index -- |t About the Authors |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) | |
650 | 0 | |a Mathematical optimization. | |
650 | 0 | |a Measure theory. | |
650 | 0 | |a Spaces of measures. | |
650 | 4 | |a Bounded Measures. | |
650 | 4 | |a Measure Spaces. | |
650 | 4 | |a Topological Spaces. | |
650 | 4 | |a Weak Compactness. | |
650 | 4 | |a Young Measures. | |
650 | 7 | |a MATHEMATICS / Functional Analysis. |2 bisacsh | |
653 | |a Bounded Measure. | ||
653 | |a Functional Analysis. | ||
653 | |a Measure Space. | ||
653 | |a Topological Space. | ||
653 | |a Weak Compactness. | ||
653 | |a Young Measure. | ||
700 | 1 | |a Godet-Thobie, Christiane, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 |z 9783110288995 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 |z 9783110293722 |o ZDB-23-DMI |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 |z 9783110288926 |o ZDB-23-DMP |
776 | 0 | |c print |z 9783110276404 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110280517 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110280517 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110280517/original |
912 | |a 978-3-11-023847-1 DGBA Backlist Mathematics 2000-2014 (EN) |c 2000 |d 2014 | ||
912 | |a 978-3-11-023857-0 DGBA Backlist Complete English Language 2000-2014 PART1 |c 2000 |d 2014 | ||
912 | |a EBA_BACKALL | ||
912 | |a EBA_CL_MTPY | ||
912 | |a EBA_DGALL | ||
912 | |a EBA_EBACKALL | ||
912 | |a EBA_EBKALL | ||
912 | |a EBA_ECL_MTPY | ||
912 | |a EBA_EEBKALL | ||
912 | |a EBA_ESTMALL | ||
912 | |a EBA_STMALL | ||
912 | |a GBV-deGruyter-alles | ||
912 | |a PDA12STME | ||
912 | |a PDA13ENGE | ||
912 | |a PDA18STMEE | ||
912 | |a PDA5EBK | ||
912 | |a ZDB-23-DGG |b 2012 | ||
912 | |a ZDB-23-DMI |b 2012 | ||
912 | |a ZDB-23-DMP |b 2012 | ||
912 | |a ZDB-23-GMA |c 2000 |d 2014 |