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On the controllability of the Laplace equation observed on an interior curve.

A. OssesJ.-P. Puel — 1998

Revista Matemática Complutense

The boundary approximate controllability of the Laplace equation observed on an interior curve is studied in this paper. First we consider the Laplace equation with a bounded potential. The Lp (1 < p < ∞) approximate controllability is established and controls of Lp-minimal norm are built by duality. At this point, a general result which clarifies the relationship between this duality approach and the classical optimal control theory is given. The results are extended to the Lp (1≤...

Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients

Anna DoubovaA. OssesJ.-P. Puel — 2002

ESAIM: Control, Optimisation and Calculus of Variations

The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that the system can be viewed as a single equation with discontinuous coefficients in the principal part. Exact controllability to the trajectories is proved when we consider distributed controls supported in the part of the domain where the diffusion...

Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients

Anna DoubovaA. OssesJ.-P. Puel — 2010

ESAIM: Control, Optimisation and Calculus of Variations

The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that the system can be viewed as a single equation with discontinuous coefficients in the principal part. Exact controllability to the trajectories is proved when we consider distributed controls supported in the part of the domain where the diffusion...

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