四阶变系数Schrodinger方程的适定性与正则性  

Well-posedness and regularity of Schrodinger equation with fourth order variable coefficients

作　　者：白忠玉[1] BAI Zhongyu(School 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,海口571127

出　　处：《重庆理工大学学报（自然科学）》2023年第3期251-258,共8页Journal of Chongqing University of Technology：Natural Science

基　　金：海南省自然科学基金项目(120RC663)。

摘　　要：研究了变系数Schrodinger方程的适定性和正则性。在Dirichlet边界控制和同位观测下,利用黎曼流形上的乘子法,证明了系统在D.Salamon意义下是适定的,且在G.Weiss意义下是正则的,其直接传输算子为零。This paper studies the well-posedness and regularity of Schrodinger equation with variable coefficients.Under Dirichlet boundary control and collocated observation,it is proved that,with the help of the multiplier method on Riemannian manifolds,the system is well-posedness in the sense of D.Salamon and regular in the sense of G.Weiss.The feedthrough operator is found to be zero.

关 键 词：SCHRODINGER方程 黎曼流形 边界控制 适定性 正则性 

分 类 号：O231.4[理学—运筹学与控制论]