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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


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Online
ISSN
1569-3945
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Volume 16, Issue 9 (Jan 2008)

Issues

Inverse problems for vibrating systems of first order

T. Yamazaki
  • Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, Japan. Email:
/ M. Yamamoto
  • Department of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, Japan. Email:
Published Online: 2008-12-08 | DOI: https://doi.org/10.1515/JIIP.2008.055

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.

Key words.: Coefficient inverse problem; one-dimensional hyperbolic system; uniqueness

About the article

Received: 2008-03-12

Revised: 2008-03-27

Published Online: 2008-12-08

Published in Print: 2008-12-01



Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/JIIP.2008.055. Export Citation

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