Overview
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.
Full Product Details
Author: Pekka Neittaanmaki ,
Jürgen Sprekels ,
Dan Tiba
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 1st ed. Softcover of orig. ed. 2006
Dimensions:
Width: 15.50cm
, Height: 2.70cm
, Length: 23.50cm
Weight: 0.801kg
ISBN: 9781441920935
ISBN 10: 1441920935
Pages: 512
Publication Date: 19 November 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of print, replaced by POD
We will order this item for you from a manufatured on demand supplier.
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 Frederic Bonnans, Zentralblatt MATH, Vol. 1106 (8), 2007)
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 Frederic Bonnans, Zentralblatt MATH, Vol. 1106 (8), 2007)
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 Frederic Bonnans, Zentralblatt MATH, Vol. 1106 (8), 2007)
