CONTROLLABILITY FOR A PARABOLIC EQUATION WITH A NONLINEAR TERM INVOLVING THE STATE AND THE GRADIENT  

作　　者：许友军 刘振海 

机构地区：[1]School of Mathematics and Physics,University of South China [2]School of Mathematical Sciences and Computing Technology,Central South University

出　　处：《Acta Mathematica Scientia》2010年第5期1593-1604,共12页数学物理学报（B辑英文版）

基　　金：supported financially by the National Natural Science Foundation of China(10971019);supported financially by the Scientific Research Fund of Hunan Provincial Educational Department(09C852)

摘　　要：In this article, we consider the controllability of a quasi-linear heat equation involving gradient terms with Dirichlet boundary conditions in a bounded domain of RN.The results are established by using the variational methods, the related duality theory and Kakutani Fixed-point Theorem.In this article, we consider the controllability of a quasi-linear heat equation involving gradient terms with Dirichlet boundary conditions in a bounded domain of RN.The results are established by using the variational methods, the related duality theory and Kakutani Fixed-point Theorem.

关 键 词：CONTROLLABILITY Kakutani fixed-point theorem nonlinear gradient term 

分 类 号：O175.26[理学—数学] TK730.323[理学—基础数学]