Geodesic
A multidimensional inverse problem of determining two coefficients in the acoustic equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 18-31

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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. 
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     author = {T. V. Bugueva},
     title = {A multidimensional inverse problem of determining two coefficients in the acoustic equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {18--31},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a2/}
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T. V. Bugueva. A multidimensional inverse problem of determining two coefficients in the acoustic equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 18-31. http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a2/