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Springer Monographs in Mathematics
cover

Optimization of Elliptic Systems

Theory and Applications

Authors: Neittaanmaki, Pekka, Sprekels, Jürgen, Tiba, Dan

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  • ISBN 978-0-387-27236-8
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Hardcover $219.99
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About this book

This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important application in science and technology, has experienced an impressive development during the last two decades. This monograph aims to address some of the pressing unsolved questions in the field. The exposition concentrates along two main directions: the optimal control of linear and nonlinear elliptic equations, and problems involving unknown and/or variable domains. Throughout this monograph, the authors elucidate connections between seemingly different types of problems. One basic feature is to relax the needed regularity assumptions as much as possible in order to include larger classes of possible applications. The book is organized into six chapters that give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples.

This monograph is addressed primarily to mathematics graduate students and researchers, however much of this material will also prove useful for scientists from physics, mechanics, and engineering.

Reviews

From the reviews:

"The book gives a comprehensive view of the optimization of systems governed by partial differential equations of elliptic type. … The book is carefully written. Basic tools of convex analysis, an abstract optimization theory, notions on the well-posedness of elliptic systems, and the existence results for optimal control problems are presented in a simple way. … The book will therefore be useful for confirmed researchers as well as students willing to enter in the field. One could even teach a graduate course by selecting material." (Joseph Frédéric Bonnans, Zentralblatt MATH, Vol. 1106 (8), 2007)


Table of contents (6 chapters)

Table of contents (6 chapters)
  • Introductory Topics

    Pages 1-23

  • Existence

    Pages 25-82

  • Optimality Conditions

    Pages 83-191

  • Discretization

    Pages 193-248

  • Unknown Domains

    Pages 249-339

Buy this book

eBook $169.00
price for USA in USD
  • ISBN 978-0-387-27236-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Hardcover $219.99
price for USA in USD
Softcover $219.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Optimization of Elliptic Systems
Book Subtitle
Theory and Applications
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2006
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-27236-8
DOI
10.1007/b138797
Hardcover ISBN
978-0-387-27235-1
Softcover ISBN
978-1-4419-2093-5
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XVI, 512
Topics