Parametrized measures and variational principles /
The purpose of this book is to present a new approach to fundamental questions concerning the calculus of variations (and more generally to the theory of optimization) based on a systematic analysis of Young measures. Weak lower semicontinuity and relaxation are main areas of concentration in this w...
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| Format: | eBook |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser Verlag,
[1997]
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| Series: | Progress in nonlinear differential equations and their applications ;
v. 30. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | The purpose of this book is to present a new approach to fundamental questions concerning the calculus of variations (and more generally to the theory of optimization) based on a systematic analysis of Young measures. Weak lower semicontinuity and relaxation are main areas of concentration in this work. The unified treatment of scalar and vector cases developed here is suitable also for more general situations. Applications to problems in continuum mechanics and nonlinear elasticity are analyzed in some depth. Other problems are included to motivate interest in Young measures and to emphasize the wide range of applicability of these techniques (to, for example, optimal control, optimal design and turbulence). Researchers and graduate students in applied mathematics and mechanics will benefit from this general approach to variational principles. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xi, 212 pages) |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages 193-209) and index. |
| ISBN: | 9783034888868 (electronic bk.) 3034888864 (electronic bk.) |