Representation of a Class of Linear Operators with Coupled Domain in a Product Space and Its Applications  

作　　者：Jing XU Jun Jie HUANG Alatancang CHEN 

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University,Hohhot,010021,China [2]School of Mathematical Sciences,Inner Mongolia Normal University,Hohhot,010022,China

出　　处：《Acta Mathematica Sinica,English Series》2023年第2期326-338,共13页数学学报（英文版）

基　　金：Supported by the NNSF of China(Grant Nos.11961052,11761029);the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(Grant No.NMGIRT2317);the NSF of Inner Mongolia(Grant Nos.2021MS01006,2020ZD01)。

摘　　要：This paper is concerned with the representation problem of a coupled operator in a product space.A necessary and sufficient condition is given for a class of operators with closed range to have a one-sided coupled operator matrix representation.The applications of this result in a delay equation and in a diffusion-transport system with dynamical boundary conditions are further presented.

关 键 词：Coupled operator diffusion-transport equation delay equation dynamical boundary condition 

分 类 号：O17[理学—数学]