Comptes Rendus
no. 4
Partial differential equations/Optimal control
Unique continuation estimates for the Kolmogorov equation in the whole space
[Inégalités de continuation unique pour l'équation de Kolmogorov dans l'espace tout entier]

Présenté par : the Editorial Board

Yubiao Zhang1
1 School of Mathematics and Statistics, Computational Science Hubei Key Laboratory, Wuhan University, Wuhan, 430072, China
Comptes Rendus. Mathématique, Volume 354 (2016) no. 4, pp. 389-393.

Nous démontrons dans cette Note des inégalités d'observation traduisant la continuation unique pour l'équation de Kolmogorov définie sur l'espace tout entier.

We prove in this Note an observation estimate at one point in time for the Kolmogorov equation in the whole space. Such estimate implies the observability and the null controllability for the Kolmogorov equation with a control region which is sufficiently spread out throughout the whole space.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.01.009
Yubiao Zhang 1

1 School of Mathematics and Statistics, Computational Science Hubei Key Laboratory, Wuhan University, Wuhan, 430072, China 
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Yubiao Zhang. Unique continuation estimates for the Kolmogorov equation in the whole space. Comptes Rendus. Mathématique, Volume 354 (2016) no. 4, pp. 389-393. doi : 10.1016/j.crma.2016.01.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.01.009/

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