Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

Inverse Problems of Geophysics

Conditional stability estimation of inverse problem solution for acoustic equation

Bugueva T.V.

Sobolev Institute of Mathematics (Novosibirsk)

We consider a multi-dimensional inverse problem for acoustic equation in a medium filling interior of a cylinder infinite with respect to the variable z. The problem of determination of the velocity function on three cylindrical coordinates is investigated. We supposed that the density of medium is known and depends only on radius. Research was spent with the help of a linearizing method. The estimation of conditional stability of the considered inverse problem is obtained.

The work was supported by the Russian Foundation for Basic Research (project codes 08-01-00312, 08-01-90260-Uzb), NSh-1440.2008.1, SB RAS Integration project N48.

Note. Abstracts are published in author's edition

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