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Inverse problems for vibrating systems of first order
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T. Yamazaki
Published/Copyright:
December 8, 2008
Abstract
We consider an inverse problem of determining a coefficient matrix and an initial value for a first order hyperbolic system. Assuming that the boundary values over a time interval are known, we characterize coefficient matrices and initial values, and prove the uniqueness of some components of the matrix function. The proof is based on a transformation formula and the spectral properties of the corresponding nonsymmetric ordinary differential operator.
Received: 2008-03-12
Revised: 2008-03-27
Published Online: 2008-12-08
Published in Print: 2008-December
© de Gruyter 2008
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- Inverse problem for a semilinear functional-differential wave equation
- A degenerate parabolic identification problem: the Hilbertian case
- Coarse-to-fine reconstruction in linear inverse problems with application to limited-angle computerized tomography
- Inverse problems for vibrating systems of first order
Keywords for this article
Coefficient inverse problem;
one-dimensional hyperbolic system;
uniqueness
Articles in the same Issue
- On wave fields generated by the sources disposed in the infinity
- Inverse problem for a semilinear functional-differential wave equation
- A degenerate parabolic identification problem: the Hilbertian case
- Coarse-to-fine reconstruction in linear inverse problems with application to limited-angle computerized tomography
- Inverse problems for vibrating systems of first order
