On some optimal control problems for the heat radiative transfer equation
Sandro Manservisi, Knut Heusermann (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Displaying similar documents to “Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions”
On some optimal control problems for the heat radiative transfer equation
Optimal control of a rotating body beam
Weijiu Liu (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we consider the problem of optimal control of the model for a rotating body beam, which describes the dynamics of motion of a beam attached perpendicularly to the center of a rigid cylinder and rotating with the cylinder. The control is applied on the cylinder via a torque to suppress the vibrations of the beam. We prove that there exists at least one optimal control and derive a necessary condition for the control. Furthermore, on the basis of iteration method, we propose...
A class of second order BVPs on infinite intervals.
Djebali, Smaïl, Moussaoui, Toufik (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Blow-up of solutions of a semilinear heat equation with a memory term.
Messaoudi, Salim A. (2005)
Abstract and Applied Analysis
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Conical differentiability for bone remodeling contact rod models
Isabel N. Figueiredo, Carlos F. Leal, Cecília S. Pinto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified...
Variational approach to shape derivatives
Kazufumi Ito, Karl Kunisch, Gunther H. Peichl (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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A general framework for calculating shape derivatives for optimization problems with partial differential equations as constraints is presented. The proposed technique allows to obtain the shape derivative of the cost without the necessity to involve the shape derivative of the state variable. In fact, the state variable is only required to be Lipschitz continuous with respect to the geometry perturbations. Applications to inverse interface problems, and shape optimization for elliptic...
Maximum principle and comparison theorem for quasi-linear stochastic PDE's.
Denis, Laurent, Matoussi, Anis, Stoica, Lucretiu (2009)
Electronic Journal of Probability [electronic only]
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Relaxation of optimal control problems in -spaces
Nadir Arada (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an -space (). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.