Some general considerations on optimality conditions for state constrained parabolic control problems

  • Uwe Mackenroth
Optimal Control: Partial Differential Equations
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 22)


Banach Space Dual Problem Topological Vector Space Boundary Control Trace Theorem 
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  1. [1]
    BARBU, V., PRECUPANU, T.: Convexity and optimization in Banach spaces, Editura academei, Sijthoff & Noordhoff, Buchuresti 1978.Google Scholar
  2. [2]
    DINCULEANU, N.: Vector measures, Pergamon Press, Oxford, VEB Deutscher Verlag der Wissenschaften, Berlin 1967.Google Scholar
  3. [3]
    FATTORINI, H.O.: The time optimal problem for boundary control of the heat equation, in: Calculus of variations and control theory, Russell, D. (ed.), Proceedings, Academic Press, New York 1976.Google Scholar
  4. [4]
    LIONS, J.-L.: Remarks on the theory of optimal control of distributed systems, in: Control theory of systems governed by partial differential equations, Aziz, A.K., Wingate, J.W., Balas, M.J. (eds.), Academic Press Inc., 1977.Google Scholar
  5. [5],[6]
    LIONS, J.-L., MAGENES, E.: Non homogenuous boundary value problems and applications, Vol. I, II, Springer-Verlag, Berlin/Heidelberg/New York 1972.Google Scholar
  6. [7]
    MACKENROTH, U.: Diskretisierung eines parabolischen Kontrollproblems mit Anfangs-und Endbedingungen, in: Operations Research Verfahren 31, Proceedings of the III. Symposium on Operations Research, Mannheim, Sept. 1978.Google Scholar
  7. [8]
    MACKENROTH, U.: Optimalitätsbedingungen und Dualität bei zustandsrestringierten parabolischen Kontrollproblemen, to appear.Google Scholar
  8. [9]
    ROCKAFELLAR, R.T.: Conjugate duality and optimization, Regional conference series in applied mathematics 16, SIAM, Phila. 1974.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Uwe Mackenroth
    • 1
  1. 1.Universität Bayreuth Fakultät für Mathematik und PhysikBayreuthWest Germany

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