Optimal control of partial differential equations : (Record no. 8145)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03750cam a2200373 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 15924604 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | NG-AbAUS |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230319005617.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090928s2010 riua b 001 0 eng |
| 010 ## - | |
| -- | 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 ## - | |
| -- | (OCoLC)ocn441945348 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Transcribing agency | DLC |
| Modifying agency | YDX |
| -- | YDXCP |
| -- | UBY |
| -- | IXA |
| -- | DLC |
| 041 1# - | |
| -- | eng |
| -- | ger |
| 050 00 - | |
| -- | QA402.3 |
| -- | .T71913 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- |
| 9 (RLIN) | 320 |
| 240 10 - | |
| -- | Optimale Steuerung partieller Differentialgleichungen. |
| -- | 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 | c2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xv, 399 p. : |
| Other physical details | ill. ; |
| Dimensions | 26 cm. |
| 490 1# - | |
| -- | Graduate studies in mathematics : |
| -- | v. 112 |
| 504 ## - | |
| -- | Includes bibliographical references and index. |
| 505 0# - | |
| -- | 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 ## - | |
| -- | "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 - | |
| -- | Control theory. |
| -- | 321 |
| 650 #0 - | |
| -- | Differential equations, Partial. |
| -- | 294 |
| 650 #0 - | |
| -- | Mathematical optimization. |
| -- | 322 |
| 830 #0 - | |
| -- | Graduate studies in mathematics ; |
| -- | v. 112. |
| -- | 323 |
| 906 ## - | |
| -- | 7 |
| -- | cbc |
| -- | orignew |
| -- | 1 |
| -- | ecip |
| -- | 20 |
| -- | y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Item type | Book |
| 955 ## - | |
| -- | xh00 2009-09-28 |
| -- | xh07 2009-09-28 to Dewey |
| -- | xe06 2010-07-14 1 copy rec'd., to CIP ver. |
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