On State Constrained Optimal Shape Design Problems

Haslinger, J.; Neittaanmäki, P.; Tiba, D.

doi:10.1007/978-3-0348-7627-8_7

J. Haslinger⁹,
P. Neittaanmäki¹⁰ &
D. Tiba¹¹

Part of the book series: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique ((ISNM,volume 78))

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Abstract

This paper is concerned with the following optimal design problem with constraints both on the state and on the control:

$$MinimizeJ(y,u)$$

(P)

subject to

$$A\left( u \right)y + \partial \varphi \left( y \right) \mathrel\backepsilon Bu + f,$$

(1.1)

$$y \in K,$$

(1.2)

$$u \in {U_{ad}}.$$

(1.3)

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References

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Author information

Authors and Affiliations

Faculty of Mathematics and Physics, Charles University, KAM MFF UK, Malostranské 2/25, CS-11800, Prague, Czechoslovakia
J. Haslinger
Department of Mathematics, University of Jyväskylä, Seminaarinkatu 15, SF-40100, Jyväskylä, Finland
P. Neittaanmäki
Department of Mathematics, INCREST, Bd. Päcii 220, R-79622, Bucharest, Romania
D. Tiba

Authors

J. Haslinger
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P. Neittaanmäki
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D. Tiba
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Editor information

Editors and Affiliations

Institut für Mathematik, Universität Augsburg, Memminger Str. 6, D-8900, Augsburg, Germany
K.-H. Hoffmann
Fachbereich Mathematik, Techn. Hochschule Darmstadt, Schlossgartenstr. 7, D-6100, Darmstadt, Germany
W. Krabs

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Haslinger, J., Neittaanmäki, P., Tiba, D. (1987). On State Constrained Optimal Shape Design Problems. In: Hoffmann, KH., Krabs, W. (eds) Optimal Control of Partial Differential Equations II: Theory and Applications. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 78. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7627-8_7

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DOI: https://doi.org/10.1007/978-3-0348-7627-8_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7629-2
Online ISBN: 978-3-0348-7627-8
eBook Packages: Springer Book Archive

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