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Boundary null-controllability of linear diffusion–reaction equations

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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Submitted on : Thursday, January 2, 2020 - 6:23:22 PM
Last modification on : Wednesday, March 2, 2022 - 9:42:12 AM

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Adel Hamdi, Imed Mahfoudhi. Boundary null-controllability of linear diffusion–reaction equations. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2010, 348 (19-20), pp.1083-1086. ⟨10.1016/j.crma.2010.09.019⟩. ⟨hal-02426734⟩

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