Abstract
We give some examples proving that if the underlying elliptic operator of a parabolic equation admits essential spectrum, then boundary or internal null controllability are not possible in general.
Dedicated to Prof. Enrique Fernández-Cara on the occasion of his 60th birthday.
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Khodja, F.A., Dupaix, C. (2018). Essential Spectrum and Null Controllability of Some Parabolic Equations. In: Doubova, A., González-Burgos, M., Guillén-González, F., Marín Beltrán, M. (eds) Recent Advances in PDEs: Analysis, Numerics and Control. SEMA SIMAI Springer Series, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-319-97613-6_1
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