Optimization of Elliptic Systems: Theory and Applications

Pekka Neittaanmaki

ISBN 10: 1441920935 / ISBN 13: 9781441920935

Published by Springer New York, 2005

About this Item

512 pages. 9.00x6.00x1.19 inches. In Stock.

Seller Inventory # x-1441920935

Bibliographic Details

• Title: Optimization of Elliptic Systems: Theory and Applications
• Publisher: Springer New York
• Publication Date: 2005
• Language: English
• ISBN 10: 1441920935
• ISBN 13: 9781441920935
• Binding: Paperback
• Condition: Brand New

About this title

Synopsis

This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. The book addresses some of the pressing unsolved questions in the field, concentrating on two main directions: the optimal control of linear and nonlinear elliptic equations, and problems involving unknown and/or variable domains. Throughout, the authors elucidate connections between seemingly different types of problems. One basic feature is to relax the needed regularity assumptions as much as possible to include larger classes of possible applications. The six chapters give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples. In addition to its appeal to students and researchers, much of this material will prove useful for scientists from other fields where the optimization of elliptic systems occurs, such as physics, mechanics, and engineering.

From the Back Cover

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.