论文标题
在动态边界条件下的热方程式的边界零可控性
Boundary null controllability for the heat equation with dynamic boundary conditions
论文作者
论文摘要
在本文中，我们关注的是具有动态边界条件的热方程的边界可控性。更确切地说，我们证明，通过在任意子结合体上支持的边界控制的任何正时，方程在任何积极的时间都是无效的。主要结果的证明结合了一个新的边界卡尔曼估计值和对伴随系统的一些规律性估计，并明确依赖于最终时间。这项技术使我们能够克服吸收正常衍生术语时产生的新难度。
In this paper, we are concerned with the boundary controllability of heat equation with dynamic boundary conditions. More precisely, we prove that the equation is null controllable at any positive time by means of a boundary control supported on an arbitrary subboundary. The proof of the main result combines a new boundary Carleman estimate and some regularity estimates for the adjoint system, with an explicit dependence with respect to the final time. This technique allows us to overcome a new difficulty that arises when absorbing a normal derivative term.
