论文标题
schrödinger方程的精确控制
Exact Control for Schrödinger Equation on Torus
论文作者
论文摘要
对于标准圆环$ \ MATHBB {t}^2 = \ MATHBB {r}^2/\ MATHBB {Z}^2 $，我们证明了从半径$ε$的球上可观察到的freeschrödinger方程，并且对$ε$的可观察性依赖性的明显依赖性。
For standard torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2$, we prove observability for free Schrödinger equation from a ball of radius $ε$ with explicit dependence of the observability constant on $ε$.
