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

Autor: Fu, Songren, Chen, Liangbiao, Zhang, Ji-Feng
Zdroj: Journal of Systems Science & Complexity; Dec2024, Vol. 37 Issue 6, p2368-2389, 22p
Abstrakt: 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 Hölder 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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