Observability and unique continuation inequalities for the Schrödinger equation
Observability and unique continuation inequalities for the Schrödinger equation
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薛定谔方程的可观测性和独特的连续不等式
DOI：
10.4171/jems/908
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发表时间：
2019
影响因子：
2.6
通讯作者：
Zhang Yubiao
中科院分区：
文献类型：
--
作者：
Wang Gengsheng;Wang Ming;Zhang Yubiao
本文给出了自由薛定谔方程在全空间上的几个能观性和唯一延拓不等式。这些不等式中的观测可以在两个时间点或一个时间点进行。这些不等式对应于自由薛定谔方程的不同能控性。我们还发现两点时间的能观性不等式等价于文[18]中建立的测不准原理。
In this paper, we present several observability and unique continuation inequalities for the free Schrodinger equation in the whole space. The observations in these inequalities are made either at two points in time or one point in time. These inequalities correspond to different kinds of controllability for the free Schrodinger equation. We also find that the observability inequality at two points in time is equivalent to the uncertainty principle built up in [18].