On a stability estimate for a solution to an inverse problem for a hyperbolic equation

Siberian Mathematical Journal

Volumn 39, Issue 2, 1998, Pages 381-393

  Romanov, V G ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26444587067     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02677522     Document Type: Article

References (14)

1. V. G. Romanov, Some Inverse Problems for the Equations of Hyperbolic Type [in Russian], Nauka, Novosibirsk (1972).
2. M. M. Lavrent'ev, V. G. Romanov, and S. P. Shishatskiǐ, Ill-Posed Problems of Mathematical Physics and Analysis [in Russian], Nauka, Moscow (1980).
3. A. L. Bukhgeǐm, Volterra Equations and Inverse Problems [in Russian], Nauka, Novosibirsk (1983).
4. V. G. Romanov, Inverse Problems of Mathematical Physics [in Russian], Nauka, Moscow (1984).
5. S. I. Kabanikhin, Projection-Difference Methods for Determining Coefficients of Hyperbolic Equations [in Russian], Nauka, Novosibirsk (1988).
6. V. G. Romanov, "Uniqueness theorems in inverse problems for some second-order equations," Dokl. Akad. Nauk SSSR, 321, No. 2, 254-257 (1991).
7. A. L. Bukhgeǐm and M. V. Klibanov, "Uniqueness in the large of a class of multidimensional inverse problems," Dokl. Akad. Nauk SSSR, 260, No. 2, 269-272 (1981).
8. M. A. Kazemi and M. V. Klibanov, "Stability estimates for ill-posed Cauchy problems involving hyperbolic equations and inequalities," Appl. Anal., 50, No. 1-2, 93-102 (1993).
9. M. I. Belishev and A. P. Kachalov, "An operator integral in the multidimensional inverse spectral problem," Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 215 (Differential Geometry. Lie Groups and Mechanics, 14), 1994, pp. 9-37.
10. M. I. Belishev, "An approach to multidimensional inverse problems for the wave equation," Dokl. Akad. Nauk SSSR, 297, No. 3, 524-527 (1987).
11. V. G. Romanov, "Solvability of inverse problems for hyperbolic equations in a class of functions that are analytic with respect to some of the variables," Dokl. Akad. Nauk SSSR, 304, No. 4, 807-811 (1989).
12. V. G. Romanov, "On a regularizing algorithm for solving an inverse problem for a hyperbolic equation," Dokl. Akad. Nauk, 346, No. 3, 303-306 (1996).
13. V. G. Romanov, "On a numerical method for solving a certain inverse problem for a hyperbolic equation," Sibirsk. Mat. Zh., 37, No. 3, 633-655 (1996).
14. V. Komornik, Exact Controllability and Stabilization. The Multiplier Method, John Wiley & Sons, New York (1994).