Optimization of elliptic systems : theory and applications

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...

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Bibliografiske detaljer
Auteurs principaux: Neittaanmäki, Pekka, 1951-, Sprekels, Jürgen, 19..- (Auteur), Tiba, Dan, 1953- (Auteur)
Format: Livre numérique
Sprog:Anglais
Udgivet: New York, NY : Springer New York [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2006.
Serier:Springer Monographs in Mathematics
Fag:
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Kommentar: Description d'après consultation du 15 avril 2011
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Edition sous un autre format:• Optimization of elliptic systems, theory and applications, Pekka Neittaanmaki, Jürgen Sprekels, Dan Tiba, 2006, [New York], Springer, 1 vol. (XV-507 p.), Springer monographs in mathematics, 0-387-27235-6
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245 1 0 |a Optimization of elliptic systems :  |b theory and applications   |c by Pekka Neittaanmaki, Dan Tiba, Jürgen Sprekels. 
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504 |a Bibliogr. p. 475-493. Index 
505 1 |a 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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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
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650 |a Optimisation mathématique 
700 1 |a Sprekels, Jürgen,  |d 19..-  |4 aut 
700 1 |a Tiba, Dan,  |d 1953-  |4 aut 
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