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Young Measures and Compactness in Measure Spaces.
Many problems in science can be formulated in the language of optimization theory, in which case an optimal solution or the best response to a particular situation is required. In situations of interest, such classical optimal solutions are lacking, or at least, the existence of such solutions is fa...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin :
De Gruyter,
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Florescu, Liviu C. | |
| 245 | 1 | 0 | |a Young Measures and Compactness in Measure Spaces. |
| 260 | |a Berlin : |b De Gruyter, |c 2012. | ||
| 300 | |a 1 online resource (352 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 520 | |a Many problems in science can be formulated in the language of optimization theory, in which case an optimal solution or the best response to a particular situation is required. In situations of interest, such classical optimal solutions are lacking, or at least, the existence of such solutions is far from easy to prove. So, non-convex optimization problems may not possess a classical solution because approximate solutions typically show rapid oscillations. This phenomenon requires the extension of such problems' solution often constructed by means of Young measures. This book is written to int. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 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. |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Spaces of measures. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Mathematical optimization. | |
| 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 | 6 | |a Espaces de mesures. | |
| 650 | 6 | |a Théorie de la mesure. | |
| 650 | 6 | |a Optimisation mathématique. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Mathematical optimization |2 fast | |
| 650 | 7 | |a Measure theory |2 fast | |
| 650 | 7 | |a Spaces of measures |2 fast | |
| 650 | 7 | |a Maßraum |2 gnd | |
| 650 | 7 | |a Kompaktheit |2 gnd | |
| 650 | 7 | |a Young-Maß |2 gnd | |
| 700 | 1 | |a Godet-Thobie, Christiane. | |
| 776 | 0 | 8 | |i Print version: |a Florescu, Liviu C. |t Young Measures and Compactness in Measure Spaces. |d Berlin : De Gruyter, ©2012 |z 9783110276404 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=471034 |z Texto completo |
| 880 | 0 | |6 505-00/(S |a Machine generated contents note: 1. Weak Compactness in Measure Spaces -- 1.1. Measure Spaces -- 1.2. Radon-Nikodym Theorem. The Dual of L1 -- 1.3. Convergences in L1(λ) and ca(A) -- 1.4. Weak Compactness in ca(A) and L1(λ) -- 1.5. The Bidual of L1(λ) -- 1.6. Extensions of Dunford-Pettis' Theorem -- 2. Bounded Measures on Topological Spaces -- 2.1. Regular Measures -- 2.2. Polish Spaces. Suslin Spaces -- 2.3. Narrow Topology -- 2.4.Compactness Results -- 2.5. Metrics on the Space (Rca+(BT), J) -- 2.5.1. Dudley's Metric -- 2.5.2. Levy-Prohorov's Metric -- 2.6. Wiener Measure -- 3. Young Measures -- 3.1. Preliminaries -- 3.1.1. Disintegration -- 3.1.2. Integrands -- 3.2. Definitions and Examples -- 3.2.1. Young Measure Associated to a Probability -- 3.2.2. Young Measure Associated to a Measurable Mapping -- 3.3. The Stable Topology -- 3.4. The Subspace M(S) [⊂] y(S) -- 3.5.Compactness -- 3.6. Biting Lemma -- 3.7. Product of Young Measures -- 3.7.1. Fiber Product. | |
| 880 | 0 | |6 505-00/(S |a Contents note continued: 3.7.2. Tensor Product -- 3.8. Jordan Finite Tight Sets -- 3.9. Strong Compactness in Lp(μ, E) -- 3.9.1. Visintin-Balder's Theorem -- 3.9.2. Rossi-Savare's Theorem -- 3.10. Gradient Young Measures -- 3.10.1. Young Measures Generated by Sequences -- 3.10.2. Quasiconvex Functions -- 3.10.3. Lower Semicontinuity -- 3.11. Relaxed Solutions in Variational Calculus. | |
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