Global solvability of two unknown variables identification problem in one inverse problem for the integro-differential wave equation

Autor: D. K. Durdiev
Jazyk: English<br />Russian
Rok vydání: 2009
Předmět:
Zdroj: Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 2(19), Pp 17-28 (2009)
Druh dokumentu: article
ISSN: 1991-8615
2310-7081
61480444
DOI: 10.14498/vsgtu656
Popis: Identification problem of the two coefficients, one of which is located under the integral sign in a hyperbolic equation and represents memory of the medium is studied, the other one defines a regular part of an impulse source. As an additional information Fourier image of the solution's trace of a direct problem on the hyperplane y=0 for two different values of transformation parameters is applied. The global solvability and the estimate of stability of the inverse problem are defined.
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