论文标题
Carleman估计和可控性结果1-D抛物线方程的全差近似值
Carleman estimates and controllability results for fully-discrete approximations of 1-D parabolic equations
论文作者
论文摘要
在本文中，我们证明了Carleman估算的抛物线运算符的完全差异近似值，其中离散参数$ h $和$ \ \ \ \ \ triangle t $连接到大型Carleman参数。我们使用此估计值获得松弛的可观察性不平等，这些不平等是通过二元性产生的，可以使完全差异线性和半线性抛物线方程的可控性结果产生。
In this paper, we prove a Carleman estimate for fully-discrete approximations of parabolic operators in which the discrete parameters $h$ and $\triangle t$ are connected to the large Carleman parameter. We use this estimate to obtain relaxed observability inequalities which yield, by duality, controllability results for fully-discrete linear and semilinear parabolic equations.
