The inverse boundary spectral problem for a hyperbolic equation with first order perturbation

Applicable Analysis

Volumn 70, Issue 3-4, 1998, Pages 219-231

  Lassas, M ^a  

^a UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Hyperbolic equations; Inverse boundary spectral problems; Inverse inverse problems

Indexed keywords

EID: 0010530175     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036819808840687     Document Type: Article

References (17)

1. Belishev, M.I., 1987. On an approach to multidimensional inverse problems for the wave equation. Dokl.Akad.Naum.SSSR, 297: 711–736.
2. Belishev, M. I., and Kurylev, Y. V., 1992. To the reconstruction of a Riemannian manifold via its boundary spectral data (BC-method). Cornrn. PDE, 17: 767–804.
3. Gohberg, I., and Krein, M., 1969. Introduction to the theory of linear nonselfadjoint operators, American Mathematical Society.
4. Hille, E., 1962. Analytic function theory, Vol. 2, Ginn abd Company.
5. Hö, L., 1985. The analysis oif linear partial differential operators, Vol. 3, Springer Verlag.
6. Isakov, V., and Sun, Z., 1992. Stability estimates for hyperbolic inverse problem. Inverse Problems, 8: 193–206.
7. Katchalov, A., and Kurylev, Y., 1998. Mulitdimensional inverse problem with in complete boundary spectral data. Comm. Partial Differential Equation, 23: 55–95.
8. Kato, T., 1966. Perturbatio theory for linear operators, Springer—Verlag.
9. Kurylev, Y. V., 1995. J. Math. Phys, 36: 2761–2776.
10. Kurylev, Y. V., and Lassas, M., 1997. The multidimensional Gelfand inverse problem for non-selfadjiont operators. Inverse Problems, 13: 1495–1501.
11. Lassa, M., 1995. Non-selfadjoint inverse spectral problems and their applications to random bodies. Ann.Acad.Sci.Fenn.dissertations, 103
12. Ja. Levin, B., 1964. Distribution fo zeros of entire functions. American mathematical society, 103 Providence
13. Markus, A.S., 1988. Inroduction to the spectral theory of operator pencils. American Mathematical Society, 103
14. Nachman, A., Sylvester, J., and Uhlmann, G., 1988. An n-dimensional Borg-Levinson theorem. Comm.Math.Phys., 115: 593–605.
15. Rakesh and Symes, W., 1988. Uniqueness for an inverse problem for the wave equation. Comm. PDE, 13: 87–96.
16. Shiota, T., 1985. An inverse problem for the wave equation with first order perturbation. Amer.J.Math, 107: 241–251.
17. Stefanov P., Uhlmannm G., Stability estimates for the hyperbolic Dirichlet to Neumann map in ansiotropic media preprint