Optimal control of unilateral obstacle problem with a source term
نویسندگان
چکیده
منابع مشابه
An Obstacle Control Problem with a Source Term
An optimal control problem for an elliptic variational inequality with a source term is considered. The obstacle is the control, and the goal is to keep the solution of the variational inequality close to the desired pro le while the H norm of the obstacle is not too large. The addition of the source term strongly a ects the needed compactness result for the existence of a minimizer.
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where f ∈ L2(Ω); it is well known that problems (1.1) and (1.2) admit a unique solution (see [3]). The aim of this paper is to develop a regularization method for solving a nondifferentiable minimization problem that is equivalent to problems (1.1) and (1.2). The idea of the regularization method is to approximate the nondifferentiable term by a sequence of differentiable ones depending on (ε ≥...
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ژورنال
عنوان ژورنال: Positivity
سال: 2008
ISSN: 1385-1292,1572-9281
DOI: 10.1007/s11117-008-2241-8