Optimal Control of Partial Differential Equations II: Theory and Applications

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

  • K.-H. Hoffmann
  • W. Krabs

Table of contents

  1. Front Matter
    Pages 1-7
  2. T. S. Angell, R. E. Kleinman
    Pages 9-27
  3. Anatoliy Butkovskiy, Nikolai Lepe, Alexandr Babichev
    Pages 43-55
  4. Heinz W. Engl, Thomas Langthaler, Paolo Manselli
    Pages 67-89
  5. J. Haslinger, P. Neittaanmäki, D. Tiba
    Pages 109-122
  6. Back Matter
    Pages 233-234

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.


Boundary value problem differential equation mechanics numerical method optimization partial differential equation

Editors and affiliations

  • K.-H. Hoffmann
    • 1
  • W. Krabs
    • 2
  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany
  2. 2.Fachbereich MathematikTechn. Hochschule DarmstadtDarmstadtGermany

Bibliographic information