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

被引：2

作者：

Bugariu, Ioan Florin ^{[1
]}

Roventa, Ionel ^{[1
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 160卷 / 03期

关键词：

Null-controllability; Schrodinger equation; Biorthogonal; Moment problem; Vanishing viscosity; NULL CONTROLLABILITY; COST;

D O I：

10.1007/s10957-013-0387-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper addresses the exact controllability problem of the linear one-dimensional Schrodinger 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 Schrodinger equation.

引用

页码：949 / 965

页数：17

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