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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2014 Volume 17, Number 2, Pages 18–31 (Mi sjim829)

A multidimensional inverse problem of determining two coefficients in the acoustic equation

T. V. Buguevaab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We consider a linearized inverse problem of finding the coefficients of the acoustic equation; namely, the problem of determining two functions depending on three space variables, the propagation speed of acoustic waves, and the density of the acoustic medium. Some algorithm is obtained for solving the problem as well as a conditional stability estimate for a solution to the inverse problem.

Keywords: acoustic equation, inverse problem, determination of the density of the acoustic medium and the propagation speed of acoustic waves.

UDC: 517.958

Received: 19.03.2014



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