Observability Inequality for the Kirchhoff-Rayleigh Plate Like Equation in a Short Time  

作　　者：Dongli LI 

机构地区：[1]Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

出　　处：《Chinese Annals of Mathematics,Series B》2010年第4期529-540,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.10831007,60821091,60974035)

摘　　要：In this paper, for any given observation time and suitable moving observation domains, the author establishes a sharp observability inequality for the Kirchhoff-Rayleigh plate like equation with a suitable potential in any space dimension. The approach is based on a delicate energy estimate. Moreover, the observability constant is estimated by means of an explicit function of the norm of the coefficient involved in the equation.

关 键 词：Kirchhoff-Rayleigh plate like equation Finite speed of propagation Observability inequality in a short time 

分 类 号：O152[理学—数学] O436.1[理学—基础数学]