Optimal Control of Partial Differential Equations

Lingua: inglese

Editore: American Mathematical Society, US, 2010

1470476444 / 9781470476441

Serie: Libro 93 di 190 - Graduate Studies in Mathematics

Da: Rarewaves.com UK, London, Regno UnitoRarewaves.com UK

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Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Troltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization.…

Codice articolo LU-9781470476441

Titolo
Optimal Control of Partial Differential Equations
Autore
Fredi Troltzsch
Editore
American Mathematical Society, US
Anno di pubblicazione
2010
Condizione
New
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1470476444
ISBN 13
9781470476441
Serie
Libro 93 di 190: Graduate Studies in Mathematics

Rarewaves.com UK

London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 11 giugno 2025

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ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
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