Boundary null-controllability of linear diffusion–reaction equations |
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Authors: | Adel Hamdi Imed Mahfoudhi |
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Institution: | Laboratoire de mathématiques LMI, INSA de Rouen, avenue de l''université, BP 8, 76801 St-Etienne-du-Rouvray cedex, France |
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Abstract: | This Note deals with the boundary null-controllability of linear diffusion–reaction equations in a 2D bounded domain. We transform the determination of the sought HUM boundary control into the minimization of a continuous and strictly convex functional. In the case of a rectangular domain where the diffusion tensor is represented by a diagonal matrix, we establish a procedure based on the inner product method that uses a complete orthonormal family of Sturm–Liouville's eigenfunctions to express explicitly the sought control. |
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