论文标题
在动态边界条件下热方程的近似可控性的成本
The cost of approximate controllability of heat equation with dynamical boundary conditions
论文作者
论文摘要
我们考虑具有涉及有界域中梯度项的动态弹性条件的热方程。在本文中，我们研究了该方程的近似可控性成本。结合了新开发的卡尔曼估计和一些优化技术，我们获得了最小规范控制的明确界限。我们考虑线性和半线性案例。
We consider the heat equation with dynamic bounary conditions involving gradient terms in a bounded domain. In this paper we study the cost of approximate controllability for this equation. Combining new developed Carleman estimates and some optimization techniques, we obtain explicit bounds of the minimal norm control. We consider the linear and the semilinear cases.
