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Optimal Control of Partial Differential Equations: Theory, Methods and Applications by Fredi Troltzsch (Hardcover, 2010)

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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 equation, quadratic cost function 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.

Product Identifiers

Publisher
American Mathematical Society
ISBN-13
9780821849040
eBay Product ID (ePID)
103380364

Product Key Features

Author
Fredi Troltzsch
Publication Name
Optimal Control of Partial Differential Equations: Theory, Methods and Applications
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2010
Type
Textbook
Number of Pages
399 Pages

Dimensions

Item Weight
893g

Additional Product Features

Title_Author
Fredi Troltzsch
Series Title
Graduate Studies in Mathematics
Country/Region of Manufacture
United States

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Optimal Control of Partial Differential Equations: Theory, Methods and Applications by Fredi Troltzsch (Hardcover, 2010)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Australian Guidebook for Structural Engineers by Lonnie Pack (Paperback, 2019)

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Time Management by Peter Quarry (Paperback, 1986)

The Ethnic Cleansing of Palestine by Ilan Pappe (Paperback, 2007)

Save on Adult Learning & University

The Australian Native Bee Hive Book: Keeping Stingless Sugarbag OATH Tim Heard

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

Classical Mechanics: The Theoretical Minimum by George Hrabovsky

Havard's Nursing Guide to Drugs

T. Jared Bunch Matthew LaPlante John D. Day The AFib Cure (Paperback)

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