WELL-POSEDNESS, REGULARITY AND EXACT CONTROLLABILITY FOR THE PROBLEM OF TRANSMISSION OF THE SCHRODINGER EQUATION

被引：0

作者：

Allag, I. ^{[1
]}

Rebiai, S. E. ^{[1
]}

机构：

[1] Univ Batna, Fac Sci, Dept Math, Batna 05000, Algeria

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2014年 / 72卷 / 01期

关键词：

BOUNDARY CONTROL; LINEAR-SYSTEMS; DIRICHLET CONTROL; PLATE EQUATION; WAVE-EQUATION; ELASTICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall study the system of transmission of the Schrodinger equation with Dirichlet control and colocated observation. Using the multiplier method, we show that the system is well-posed with input and ouput space U = L-2(Gamma) and state space X = H-1(Omega). The regularity of the system is also established, and the feedthrough operator is found to be zero. Finally, the exact controllability of the open-loop system is obtained by proving the observability inequality of the dual system.

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页码：93 / 108

页数：16

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