论文标题
离散的Carleman估计和适用于具有动态边界条件的全discrete抛物线操作员的可控性
Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions
论文作者
论文摘要
我们考虑具有动态边界条件的1-D热方程式的完全差异近似，我们为此提供了可控性结果。该结果的证明是基于相应伴随系统的轻松可观察性不平等。这是通过在此类模型中使用合适的Carleman估算值来完成的，在此模型中，离散参数$ h $和$ΔT$连接到大型卡尔曼参数之一。
We consider a fully-discrete approximations of 1-D heat equation with dynamic boundary conditions for which we provide a controllability result. The proof of this result is based on a relaxed observability inequality for the corresponding adjoint system. This is done by using a suitable Carleman estimate for such models where the discrete parameters $h$ and $Δt$ are connected to the one of the large Carleman parameters.
