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Article Dans Une Revue Journal of Evolution Equations Année : 2017

Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms

Résumé

This paper is devoted to studying the null and approximate controllability of two linear coupled parabolic equations posed on a smooth domain Ω of R^N with coupling terms of zero and first orders and one control localized in some arbitrary nonempty open subset ω of the domain Ω. We prove the null controllability under a new sufficient condition and we also provide the first example of a not approximately controllable system in the case where the support of one of the nontrivial first order coupling terms intersects the control domain ω.
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Dates et versions

hal-01370955 , version 1 (23-09-2016)

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Michel Duprez, Pierre Lissy. Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms. Journal of Evolution Equations, In press, 18, pp.659-680. ⟨10.1007/s00028-017-0415-1⟩. ⟨hal-01370955⟩
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