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Series : Springer Monographs in Mathematics

Optimization of Elliptic Systems

Theory And Applications

Optimization of Elliptic Systems
Author
Neittaanmaki, Pekka/ Sprekels, Jurgen/ Tiba, Dan 
Publisher
Springer-Verlag 
Publication Date
Jan, 2006 
ISBN
0387272356 or 9780387272351
HARDCOVER 
507 Pages
出版済 弊社に在庫ございます。
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¥ 26,530 (tax included)

Description

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 to a large readership, primarily to graduate students and researchers working in this field of mathematics. Much of this material will prove useful also for scientists from other fields where the optimization of elliptic systems occurs, such as physics, mechanics, and engineering.

Contents

Preface.- Introductory topics.- Existance.- Optimality conditions.- Discretization.- Unknown domains.- Optimization of curved mechanical systems.- Appendix 1: Convex mappings and monotone operators.- Appendix 2: Elliptic equations and variational inequalities.- Appendix 3: Domain convergence.- References.

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