Schrödinger方程在Neumann边界控制下的正则性与能观测性  

Regularity and observability of Schr dinger equation under the Neumann boundary control

作　　者：白忠玉[1] BAI Zhong-yu(Faculty of Network Science,Haikou University of Economics,Haikou 571127,China)

机构地区：[1]海口经济学院网络学院,海南海口571127

出　　处：《兰州理工大学学报》2022年第5期166-172,共7页Journal of Lanzhou University of Technology

基　　金：海南省自然科学基金(120RC663)。

摘　　要：研究了Schrödinger方程的正则性和能观测性.在Neumann边界控制和同位观测下,利用适定性结果,证明了系统在G.Weiss意义下是正则的,其直接传输算子为零,并建立了能观测性不等式.The regularity and observability of a Schrödinger equation are studied.Under Neumann boundary control and collocated observation,it is proved that the system is regular in the sense of G.Weiss via the well posed results.The feedthrough operator is found to be zero,and the observability inequality is established.

关 键 词：Schr dinger方程 边界控制 正则性 能观测性 

分 类 号：O231.4[理学—运筹学与控制论]