Balıkesir Üniversitesi
Kütüphane ve Dokümantasyon Daire Başkanlığı

Optimal control of partial differential equations : (Kayıt no. 28455)

MARC ayrıntıları
000 -LEADER
fixed length control field 03821nam a2200409 i 4500
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
Qualifying information alk. paper
International Standard Book Number 0821849042
Qualifying information alk. paper
035 ## - SYSTEM CONTROL NUMBER
System control number .b6838953x
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Transcribing agency DLC
Modifying agency YDX
-- YDXCP
-- UBY
-- IXA
-- OSU
-- UtOrBLW
-- BAUN
Description conventions rda
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
Language code of original and/or intermediate translations of text ger
049 ## - LOCAL HOLDINGS (OCLC)
Holding library BAUN_MERKEZ
050 04 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA402.3
Item number .T7913 2010
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Edition number 22
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
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence, R.I. :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice [2010]
Date of production, publication, distribution, manufacture, or copyright notice ©2010
300 ## - PHYSICAL DESCRIPTION
Extent xv, 399 pages :
Other physical details illustrations ;
Dimensions 26 cm
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term unmediated
Media Type Code unmediated
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term volume
Carrier Type Code volume
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Graduate studies in mathematics ;
Volume number/sequential designation v. 112
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index
505 00 - FORMATTED CONTENTS NOTE
Title -- 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
Topical term or geographic name as entry element Differential equations, Partial
Topical term or geographic name as entry element Mathematical optimization
710 2# - ADDED ENTRY--CORPORATE NAME
9 (RLIN) 111032
Corporate name or jurisdiction name as entry element American Mathematical Society.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
9 (RLIN) 110509
Uniform title Graduate studies in mathematics,
Volume number/sequential designation volume 112.
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 1065-7339 ;
900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA]
Personal Name 31592
Numeration satın
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Kitap
Mevcut
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Inventory number Full call number Barcode Date last seen Price effective from Koha item type
    Library of Congress Classification     Non-fiction Mehmet Akif Ersoy Merkez Kütüphanesi Mehmet Akif Ersoy Merkez Kütüphanesi Genel Koleksiyon 03/11/2011 Satın Alma 115.58 255.07.02.01.06- QA402.3 .T7913 2010 031592 22/12/2015 11/01/2015 Kitap
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