Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774730 | Journal of Mathematical Analysis and Applications | 2017 | 29 Pages |
Abstract
We study the null-controllability of parabolic equations associated to non-autonomous Ornstein-Uhlenbeck operators. When a Kalman type condition holds for some positive time T>0, these parabolic equations are shown to enjoy a Gevrey regularizing effect at time T>0. Thanks to this regularizing effect, we prove by adapting the Lebeau-Robbiano method that these parabolic equations are null-controllable in time T>0 from control regions, for which null-controllability is classically known to hold in the case of the heat equation.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Karine Beauchard, Karel Pravda-Starov,