Equivalence between the internal observability and equation  

作　　者：LIU Wen-jun TU Zhi-yu 

机构地区：[1]School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第1期89-97,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11771216);the Key Research and Development Program of Jiangsu Province(Social Development)(BE2019725);the Qing Lan Project of Jiangsu Province。

摘　　要：This paper is concerned with a third order in time linear Moore-Gibson-Thompson equation which describes the acoustic velocity potential in ultrasound wave program.Influenced by the work of Kaltenbacher,Lasiecka and Marchand(Control Cybernet.2011,40:971-988),we establish an observability inequality of the conservative problem,and then discuss the equivalence between the exponential stabilization of a dissipative system and the internal observational inequality of the corresponding conservative system.

关 键 词：Moore-Gibson-Thompson equation internal observability exponential stability 

分 类 号：O175[理学—数学]