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

被引：0
作者：
Fu, Songren [1 ]
Chen, Liangbiao [1 ]
Zhang, Ji-Feng [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
[2] Zhongyuan Univ Technol, Sch Automat & Elect Engn, Zhengzhou 450007, Peoples R China
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2024年
基金：
美国国家科学基金会; 国家重点研发计划;
关键词：
Carleman estimate; memory term; Moore-Gibson-Thompson equation; stability; Riemannian geometry; GLOBAL UNIQUENESS; WAVE-EQUATIONS; CONTROLLABILITY; COEFFICIENT;
D O I：
10.1007/s11424-024-3565-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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 & ouml;lder 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.
引用
收藏
页码：2368 / 2389
页数：22
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