论文标题
Schrödinger方程在简单上的渐近边界可观察性
Asymptotic Boundary Observability for the Schrödinger Equation on Simplices
论文作者
论文摘要
我们考虑$ n $ dimensional symerx the dirichlet边界条件上的schrödinger方程$（i \ partial_t+δ）u = 0 $。我们使用换向因素的参数以及零件的集成来获得单纯的任何一个脸的观察性渐近性。而不是典型的可观察性不平等，我们能够做得更好，因为我们证明了大量渐近性。
We consider the Schrödinger equation $(i\partial_t+Δ)u=0$ on an $n$-dimensional simplex with Dirichlet boundary conditions. We use a commutator argument along with integration by parts to obtain an observability asymptotic for any one face of the simplex. Rather than the typical observability inequality, we are able to do better as we instead prove a large-time asymptotic.
