Null-controllability of non-autonomous Ornstein-Uhlenbeck equations

2016/07/19 by Karine Beauchard, Beauchard, Karine, Karel Pravda‐Starov +1
Computer Science · Engineering · Mathematics · #35B65 #35H10 #93B05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1607.05433

openalex publication_date 2016/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 greater than or equal to 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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