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

  • Optimal Control: Partial Differential Equations
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Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 22))

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References

  1. BARBU, V., PRECUPANU, T.: Convexity and optimization in Banach spaces, Editura academei, Sijthoff & Noordhoff, Buchuresti 1978.

    Google Scholar 

  2. DINCULEANU, N.: Vector measures, Pergamon Press, Oxford, VEB Deutscher Verlag der Wissenschaften, Berlin 1967.

    Google Scholar 

  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. 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.

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  5. LIONS, J.-L., MAGENES, E.: Non homogenuous boundary value problems and applications, Vol. I, II, Springer-Verlag, Berlin/Heidelberg/New York 1972.

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  6. 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.

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  7. MACKENROTH, U.: Optimalitätsbedingungen und Dualität bei zustandsrestringierten parabolischen Kontrollproblemen, to appear.

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  8. ROCKAFELLAR, R.T.: Conjugate duality and optimization, Regional conference series in applied mathematics 16, SIAM, Phila. 1974.

    Google Scholar 

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K. Iracki K. Malanowski S. Walukiewicz

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© 1980 Springer-Verlag

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Mackenroth, U. (1980). Some general considerations on optimality conditions for state constrained parabolic control problems. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036419

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  • DOI: https://doi.org/10.1007/BFb0036419

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10080-5

  • Online ISBN: 978-3-540-38248-5

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