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＜電子ブック＞
Optimization of Elliptic Systems : Theory and Applications / by Pekka Neittaanmaki, Jürgen Sprekels, Dan Tiba
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2006.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XVI, 512 p : online resource
著者標目	*Neittaanmaki, Pekka author Sprekels, Jürgen author Tiba, Dan author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Differential equations LCSH:Mathematics FREE:Optimization FREE:Differential Equations FREE:Applications of Mathematics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/b138797

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