Small Time Uniform Controllability of the Linear One-Dimensional Schrödinger Equation with Vanishing Viscosity

被引：0
|
作者：
Ioan Florin Bugariu
Ionel Rovenţa
机构：
[1] University of Craiova,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2014年 / 160卷
关键词：
Null-controllability; Schrödinger equation; Biorthogonal; Moment problem; Vanishing viscosity;
D O I：
暂无
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学科分类号：
摘要：
This paper addresses the exact controllability problem of the linear one-dimensional Schrödinger equation perturbed by a vanishing viscosity term depending on a strictly positive parameter. It is shown that, for any time and for each initial datum in a suitable space, there exists a uniformly bounded family of boundary controls. Any weak limit of this family is a control for the linear Schrödinger equation.
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页码：949 / 965
页数：16
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