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Article Dans Une Revue ESAIM: Control, Optimisation and Calculus of Variations Année : 2021

Uniform null controllability for parabolic equations with discontinuous diffusion coefficients

Résumé

In this article, we study the null-controllability of a heat equation in a domain composed of two media of different constant conductivities. In particular, we are interested in the behavior of the system when the conductivity of the medium on which the control does not act goes to infinity, corresponding at the limit to a perfectly conductive medium. In that case, and under suitable geometric conditions, we obtain a uniform null-controllability result. Our strategy is based on the analysis of the controllability of the corresponding wave operators and the transmutation technique, which explains the geometric conditions.
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Dates et versions

hal-02986358 , version 1 (02-11-2020)
hal-02986358 , version 2 (10-06-2021)

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Jérémi Dardé, Sylvain Ervedoza, Roberto Morales. Uniform null controllability for parabolic equations with discontinuous diffusion coefficients. ESAIM: Control, Optimisation and Calculus of Variations, 2021, ⟨10.1051/cocv/2021063⟩. ⟨hal-02986358v2⟩
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