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：

国家重点研发计划; 美国国家科学基金会;

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

页码：2368 / 2389

页数：22

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