Null-controllability of non-autonomous Ornstein-Uhlenbeck equations

被引：10

作者：

Beauchard, Karine ^{[1
]}

Pravda-Starov, Karel ^{[2
]}

机构：

[1] UBL, IRMAR, Ecole Normale Super Rennes, CNRS, Campus Ker Lann, F-35170 Bruz, France

[2] Univ Rennes 1, IRMAR, CNRS UMR 6625, Campus Beaulieu,263 Ave Gen Leclerc,CS 74205, F-35042 Rennes, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 456卷 / 01期

关键词：

Null-controllability; Observability; Non-autonomous; Ornstein-Uhlenbeck operators; Gevrey regularity; Kalman type condition; DEGENERATE PARABOLIC OPERATORS; HEAT-EQUATION;

D O I：

10.1016/j.jmaa.2017.07.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：496 / 524

页数：29

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