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arXiv 2609.09959math.OCmath.AP

某些控制作用于域的不同部分及其边界的线性抛物系统的零能控性

Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary

  • Aix-Marseille Université(艾克斯-马赛大学)

机构由 AI 辅助整理,请以论文原文为准。

Guillaume Olive

AI总结:

本文研究常系数线性抛物系统在多个控制作用于不同子域及边界时的零能控性,证明了一维Kalman秩条件,并建立了Carleman估计。

AI中文摘要:

本文研究了常系数线性抛物系统在多个控制作用于不同分布子域和/或边界情况下的零能控性。在一维情形下,我们证明了Kalman秩条件。在仅考虑分布控制的情形下,我们还建立了相关结果,如Carleman估计。

英文摘要:

In this work we study the null-controllability properties of linear parabolic systems with constant coefficients in the case where several controls are acting on different distributed subdomains and/or on the boundary. We prove a Kalman rank condition in the one-dimensional case. In the case where only distributed controls are considered we also establish related results such as a Carleman estimate.

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