Optimal control of partial differential equations : (Record no. 147887)

000 -LEADER
fixed length control field 03735cam a2200373 a 4500
001 - CONTROL NUMBER
control field 15924604
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20170504102134.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090928s2010 riua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2009037756
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821849040 (alk. paper)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0821849042 (alk. paper)
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)ocn441945348
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency ousl
Modifying agency YDX
-- YDXCP
-- UBY
-- IXA
-- DLC
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
Language code of original ger
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA402.3
Item number .T71913 2010
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.642
Edition number 22
Item number T65
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Tröltzsch, Fredi,
Dates associated with a name 1951-
240 10 - UNIFORM TITLE
Uniform title Optimale Steuerung partieller Differentialgleichungen.
Language of a work English
245 10 - TITLE STATEMENT
Title Optimal control of partial differential equations :
Remainder of title theory, methods, and applications /
Statement of responsibility, etc. Fredi Tröltzsch ; translated by Jürgen Sprekels.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. Providence, R.I. :
Name of publisher, distributor, etc. American Mathematical Society,
Date of publication, distribution, etc. 2010.
300 ## - PHYSICAL DESCRIPTION
Extent xv, 399 p. :
Other physical details ill. ;
Dimensions 26 cm.
490 1# - SERIES STATEMENT
Series statement Graduate studies in mathematics :
Volume/sequential designation v. 112
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction and examples -- Linear-quadratic elliptic control problems -- Linear-quadratic parabolic control problems -- Optimal control of semilinear elliptic equations -- Optimal control of semilinear parabolic equations -- Optimization problems in Banach spaces -- Supplementary results on partial differential equations.
520 ## - SUMMARY, ETC.
Summary, etc. "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, Tröltzsch 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."--Publisher's description.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Control theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations, Partial.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical optimization.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Graduate studies in mathematics ;
Volume number/sequential designation v. 112.
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN)
a 7
b cbc
c orignew
d 1
e ecip
f 20
g y-gencatlg
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Price effective from Date last seen Permanent Location Not for loan Date acquired Source of classification or shelving scheme Koha item type Lost status Cost, normal purchase price Withdrawn status Copy number Inventory number Source of acquisition Cost, replacement price Collection code Damaged status Barcode Current Location Full call number
2017-04-262017-02-13OUSL- Main Library  2017-04-26 Books 9498.48 13549013549049498.48General Collection 135490OUSL- Main Library 515.642 T65

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