CONTROL AND STABILIZATION OF THE KORTEWEG-DE VRIES EQUATION:RECENT PROGRESSES  

作　　者：Lionel ROSIER Bing-Yu ZHANG 

机构地区：[1]Institut Elie Caftan, UMR 7502 UHPJCNRSJINRIA, B.P. 239, F-54506 Vandceuvre-les-Nancy Cedex, France. [2]Department of Mathematical Sciences, University of Cincinnati, Cincinnati Ohio 45221-0025, USA.

出　　处：《Journal of Systems Science & Complexity》2009年第4期647-682,共36页系统科学与复杂性学报（英文版）

摘　　要：The study of the control and stabilization of the KdV equation began with the work ofRussell and Zhang in late 1980s.Both exact control and stabilization problems have been intensivelystudied since then and significant progresses have been made due to many people's hard work andcontributions.In this article,the authors intend to give an overall review of the results obtained so farin the study but with an emphasis on its recent progresses.A list of open problems is also providedfor further investigation.

关 键 词：Exact controllability Korteweg-de Vries equation smoothing property STABILIZABILITY unique continuation. 

分 类 号：O175.29[理学—数学] TH134[理学—基础数学]