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Young Measures and Compactness in Measure Spaces.

By: Contributor(s): Material type: TextTextPublication details: Berlin : De Gruyter, 2012.Description: 1 online resource (352 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110280517
  • 3110280515
Subject(s): Genre/Form: Additional physical formats: Print version:: Young Measures and Compactness in Measure Spaces.DDC classification:
  • 515.42 515/.42
LOC classification:
  • QA312 .F56 2012
Other classification:
  • SK 430
Online resources:
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.
Summary: 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.
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Print version record.

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.

Includes bibliographical references and index.

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.

English.

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