
Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms
Duprez, Michel; Lissy, Pierre (2018), Positive and negative results on the internal controllability of parabolic equations coupled by zero and first order terms, Journal of Evolution Equations, 18, 2, p. 659-680. 10.1007/s00028-017-0415-1
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Type
Article accepté pour publication ou publiéExternal document link
https://hal.archives-ouvertes.fr/hal-01370955Date
2018Journal name
Journal of Evolution EquationsVolume
18Number
2Publisher
Springer
Pages
659-680
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Show full item recordAuthor(s)
Duprez, Michel
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Lissy, Pierre
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
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.Subjects / Keywords
Controllability; Parabolic systems; Fictitious control method; Algebraic solvabilityRelated items
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