Stability in Inverse Problem of Determining Two Parameters for the Moore-Gibson-Thompson Equation with Memory Terms  

作　　者：FU Songren CHEN Liangbiao ZHANG Ji-Feng 

机构地区：[1]Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [2]School of Automation and Electrical Engineering,Zhongyuan University of Technology,Zhengzhou 450007,China

出　　处：《Journal of Systems Science & Complexity》2024年第6期2368-2389,共22页系统科学与复杂性学报（英文版）

基　　金：supported by the National Key R&D Program of China under Grant No.2018YFA0703800;the National Science Foundation of China under Grant No.T2293770。

摘　　要：In this paper,the authors consider the inverse problem for the Moore-Gibson-Thompson equation with a memory term and variable diffusivity,which introduce a sort of delay in the dynamics,producing nonlocal effects in time.The H¨older stability of simultaneously determining the spatially varying viscosity coefficient and the source term is obtained by means of the key pointwise Carleman estimate for the Moore-Gibson-Thompson equation.For the sake of generality in mathematical tools,the analysis of this paper is discussed within the framework of Riemannian geometry.

关 键 词：Carleman estimate memory term Moore-Gibson-Thompson equation STABILITY Riemannian geometry 

分 类 号：O175[理学—数学]