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

中图分类号：

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.

引用

页码：949 / 965

页数：16

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