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Nondifferentiable Optimization: Motivations and Applications pp 139–149Cite as

Optimal Control of Hyperbolic Variational Inequalities

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 255))

Abstract

Variational inequalities and free boundary problems arise in a natural way in a variety of physical phenomena. The study of their control, both from theoretical and numerical point of view, was initiated in the works of J.P. Yvon [12] and F.Mignot [7]. The literature is rich in results on elliptic and parabolic problems and we quote the recent book of Barbu [2] for a survey in this respect.

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References

  1. Amerio, L. and Prouse, G. (1975). Study of the motion of a string vibrating against an obstacle. Rend. di Matematica, 2

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  2. Barbu, V. (1984). Optimal control of variational inequalities. Research Notes in Mathematics 100, Pitman, London.

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  3. Barbu, V. (1976). Nonlinear semigroups and differential equations in Banach spaces. Noordhoff, Leyden-Ed. Academiei, Bucuresti.

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  4. Clarke, F.H. (1975). Generalized gradients and applications. Trans. Amer. Math. Soc. 205.

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  5. Komornik, V. and Tiba, D. Optimal control of strongly nonlinear hyperbolic systems. In preparation.

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  6. Lions, J.L. (1983). Contrôle des systèmes distribués singuliers. Dunod, Paris.

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  7. Mignot, F. (1976). Contróle dans les inequations variationelles elliptiques. Journal of Funct. Anal., 22.

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  8. Schatzman, M. (1979). Thèse, Univ. “Pierre et Marie Curie”, Paris.

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  9. Tiba, D. (1985). Optimality conditions for distributed control problems with nonlinear state equaion. SIAM J. Control and Optimization, 23.

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  10. Tiba, D. (1984). Some remarks on the control of the vibrating string with obstacle. Rev. Roum. Math. Pures Appl., 10.

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  11. Tiba, D. (1984). Quelques remarques sur le contrôle de la corde vibrante avec obstacle. C.R.A.S. paris. In print.

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  12. Yvon, J.P. (1974). Report INRIA, 53.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, INCREST, Bd. Pacii 220, 79622, Bucharest, Romania

    Dan Tiba

Authors
  1. Dan Tiba
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Editor information

Editors and Affiliations

  1. International Institute for Applied Systems Analysis, Schlossplatz 1, A-2361, Laxenburg, Austria

    Vladimir F. Demyanov

  2. Applied Mathematical Department, Leningrad University, Leningrad, USSR

    Vladimir F. Demyanov

  3. Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Postfach 6380, D-7500, Karlsruhe 1, Germany

    Diethard Pallaschke

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© 1985 Springer-Verlag Berlin Heidelberg

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Tiba, D. (1985). Optimal Control of Hyperbolic Variational Inequalities. In: Demyanov, V.F., Pallaschke, D. (eds) Nondifferentiable Optimization: Motivations and Applications. Lecture Notes in Economics and Mathematical Systems, vol 255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12603-5_13

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  • DOI: https://doi.org/10.1007/978-3-662-12603-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15979-7

  • Online ISBN: 978-3-662-12603-5

  • eBook Packages: Springer Book Archive

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