The problem of the number of switches in parabolic equations with control
Andrzej Karafiat (1977)
Annales Polonici Mathematici
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Andrzej Karafiat (1977)
Annales Polonici Mathematici
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Ira Neitzel, Fredi Tröltzsch (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study Lavrentiev-type regularization concepts for linear-quadratic parabolic control problems with pointwise state constraints. In the first part, we apply classical Lavrentiev regularization to a problem with distributed control, whereas in the second part, a Lavrentiev-type regularization method based on the adjoint operator is applied to boundary control problems with state constraints in the whole domain. The analysis for both classes of control problems is investigated...
Azé, D., Bolintinéanu, S. (2000)
Journal of Convex Analysis
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S. Farag, M. Farag (2000)
Applicationes Mathematicae
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An optimal control problem governed by a quasilinear parabolic equation with additional constraints is investigated. The optimal control problem is converted to an optimization problem which is solved using a penalty function technique. The existence and uniqueness theorems are investigated. The derivation of formulae for the gradient of the modified function is explainedby solving the adjoint problem.
S. Trybuła (1987)
Applicationes Mathematicae
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Hongwei Lou (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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An optimal control problem for semilinear parabolic partial differential equations is considered. The control variable appears in the leading term of the equation. Necessary conditions for optimal controls are established by the method of homogenizing spike variation. Results for problems with state constraints are also stated.
A. Plis (1973)
Annales Polonici Mathematici
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Stanisław Łojasiewicz, Jr. (1979)
Annales Polonici Mathematici
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Vladimír Kučera (1996)
Kybernetika
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Vladimír Kučera (1997)
Kybernetika
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Czesław Olech, Bronisław Jakubczyk, Jerzy Zabczyk (1985)
Banach Center Publications
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Hans-Dieter Burkhard (1988)
Banach Center Publications
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