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.
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@article{CRMATH_2016__354_4_389_0, author = {Zhang, Yubiao}, title = {Unique continuation estimates for the {Kolmogorov} equation in the whole space}, journal = {Comptes Rendus. Math\'ematique}, pages = {389--393}, publisher = {Elsevier}, volume = {354}, number = {4}, year = {2016}, doi = {10.1016/j.crma.2016.01.009}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2016.01.009/} }
TY - JOUR AU - Zhang, Yubiao TI - Unique continuation estimates for the Kolmogorov equation in the whole space JO - Comptes Rendus. Mathématique PY - 2016 SP - 389 EP - 393 VL - 354 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2016.01.009/ DO - 10.1016/j.crma.2016.01.009 LA - en ID - CRMATH_2016__354_4_389_0 ER -
%0 Journal Article %A Zhang, Yubiao %T Unique continuation estimates for the Kolmogorov equation in the whole space %J Comptes Rendus. Mathématique %D 2016 %P 389-393 %V 354 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2016.01.009/ %R 10.1016/j.crma.2016.01.009 %G en %F CRMATH_2016__354_4_389_0
Zhang, Yubiao. Unique continuation estimates for the Kolmogorov equation in the whole space. Comptes Rendus. Mathématique, Tome 354 (2016) no. 4, pp. 389-393. doi : 10.1016/j.crma.2016.01.009. http://archive.numdam.org/articles/10.1016/j.crma.2016.01.009/
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