典型文献
Exact Boundary Controllability of Weak Solutions for a Kind of First Order Hyperbolic System——the HUM Method
文献摘要:
The exact boundary controllability and the exact boundary observability for the 1-D first order linear hyperbolic system were studied by the constructive method in the framework of weak solutions in the work[Lu,X.and Li,T.T.,Exact boundary con-trollability of weak solutions for a kind of first order hyperbolic system — the constructive method,Chin.Ann.Math.Ser.B,42(5),2021,643-676].In this paper,in order to study these problems from the viewpoint of duality,the authors establish a complete the-ory on the HUM method and give its applications to first order hyperbolic systems.Thus,a deeper relationship between the controllability and the observability can be revealed.Moreover,at the end of the paper,a comparison will be made between these two methods.
文献关键词:
中图分类号:
作者姓名:
Xing LU;Tatsien LI
作者机构:
School of Mathematics,Southeast University,Nanjing 211189,China;School of Mathematical Sciences,Fudan University,Shanghai 200433,China;Shanghai Key Laboratory for Contemporary Applied Mathematics;Nonlinear Mathematical Modeling and Methods Laboratory
文献出处:
引用格式:
[1]Xing LU;Tatsien LI-.Exact Boundary Controllability of Weak Solutions for a Kind of First Order Hyperbolic System——the HUM Method)[J].数学年刊B辑(英文版),2022(01):1-16
A类:
trollability
B类:
Exact,Boundary,Controllability,Weak,Solutions,Kind,First,Order,Hyperbolic,System,HUM,Method,exact,boundary,controllability,observability,first,order,linear,hyperbolic,were,studied,by,constructive,framework,weak,solutions,Lu,Li,kind,Chin,Ann,Math,Ser,In,this,paper,study,these,problems,from,viewpoint,duality,authors,establish,complete,ory,give,its,applications,systems,Thus,deeper,relationship,between,can,revealed,Moreover,end,comparison,will,made,two,methods
AB值:
0.588463
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