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Optimal Control of Partial Differential Equations II: Theory and Applications

Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986

  • Book
  • © 1987

Overview

Editors:
  1. K.-H. Hoffmann

    1. Institut für Mathematik, Universität Augsburg, Augsburg, Germany

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  2. W. Krabs

    1. Fachbereich Mathematik, Techn. Hochschule Darmstadt, Darmstadt, Germany

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 78)

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Table of contents (13 chapters)

  1. Front Matter

    Pages 1-7
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  2. On a Domain Optimization Problem in Hydromechanics

    • T. S. Angell, R. E. Kleinman
    Pages 9-27

  3. On a Certain Optimal Harvesting Problem with Continuous Age Structure

    • Martin Brokate
    Pages 29-42

  4. Continuous Media: Interpretation in Terms of Phase-Portrait Method for Dynamic Systems with Control

    • Anatoliy Butkovskiy, Nikolai Lepe, Alexandr Babichev
    Pages 43-55

  5. Optimal Periodic Control of Quasilinear Systems in Hilbert Spaces

    • Fritz Colonius
    Pages 57-66

  6. On an Inverse Problem for a Nonlinear Heat Equation Connected with Continuous Casting of Steel

    • Heinz W. Engl, Thomas Langthaler, Paolo Manselli
    Pages 67-89

  7. Convergence of Suboptimal Controls for Point Targets

    • H. O. Fattorini
    Pages 91-107

  8. On State Constrained Optimal Shape Design Problems

    • J. Haslinger, P. Neittaanmäki, D. Tiba
    Pages 109-122

  9. An Application of Quasi Newton Methods to Pseudoparabolic Optimal Control Problems

    • Carl T. Kelley, Ekkehard W. Sachs
    Pages 123-138

  10. Asymptotic Stability of Solutions to a Two-Phase Stefan Problem with Nonlinear Boundary Condition of Signorini Type

    • Nobuyuki Kenmochi
    Pages 139-159

  11. On the Control of the Secondary Cooling in the Continuous Casting Process

    • Pekka Neittaanmäki
    Pages 161-177

  12. Optimal Control of Two-Phase Stefan Problems — Numerical Solutions

    • Irena Pawlow
    Pages 179-206

  13. Justification of Necessary Optimality Conditions for Certain Integral Functionals

    • Thomas I. Seidman
    Pages 207-218

  14. Semidiscrete Finite Element Approximation of Parabolic Boundary Control Problems — Convergence of Switching Points

    • Fredi Tröltzsch
    Pages 219-232

  15. Back Matter

    Pages 233-234
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Keywords

About this book

This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat prob­ lems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrody­ namics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to con­ strained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. ]~inally, some contribu­ tions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant at­ mosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute.

Editors and Affiliations

  • Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    K.-H. Hoffmann

  • Fachbereich Mathematik, Techn. Hochschule Darmstadt, Darmstadt, Germany

    W. Krabs

Bibliographic Information

  • Book Title: Optimal Control of Partial Differential Equations II: Theory and Applications

  • Book Subtitle: Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986

  • Editors: K.-H. Hoffmann, W. Krabs

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-7627-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1987

  • Hardcover ISBN: 978-3-7643-1846-8Published: 01 January 1986

  • eBook ISBN: 978-3-0348-7627-8Published: 14 March 2013

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: VII, 227

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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