Inverse Problem for a Structural Acoustic System with Variable Coefficients

We consider stability in an inverse problem of determining the material coefficient matrix for a coupled system that describes acoustic interactions, by the Riemannian geometrical approach. The stability is proved by the Carleman estimates and observability inequalities.

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Bibliographic Details
Published in:The Journal of geometric analysis 2023-05, Vol.33 (5), Article 139
Main Authors: Fu, Song-Ren, Yao, Peng-Fei
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometric PDE Control
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Inverse problems
Mathematics
Mathematics and Statistics
Shape Optimization and Applications
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Description
Summary:We consider stability in an inverse problem of determining the material coefficient matrix for a coupled system that describes acoustic interactions, by the Riemannian geometrical approach. The stability is proved by the Carleman estimates and observability inequalities.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-023-01194-0