Problem of determining the~speed of sound and the~memory of an~anisotropic medium
Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 1, pp. 112-132
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We consider the inverse problems of simultaneously determining two unknowns: the wave propagation velocity and the memory of a layered medium. To find them, we use the data of two observed fluctuations on the domain boundary. Estimates of the solution stability and uniqueness theorems for the considered problems are the main results.
Keywords:
inverse problem, Neumann data, Heaviside step function, Dirac function, Lamé parameter.
Mots-clés : Fourier transform
Mots-clés : Fourier transform
@article{TMF_2021_207_1_a7,
author = {A. A. Rakhmonov and U. D. Durdiev and Z. R. Bozorov},
title = {Problem of determining the~speed of sound and the~memory of an~anisotropic medium},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {112--132},
publisher = {mathdoc},
volume = {207},
number = {1},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2021_207_1_a7/}
}
TY - JOUR AU - A. A. Rakhmonov AU - U. D. Durdiev AU - Z. R. Bozorov TI - Problem of determining the~speed of sound and the~memory of an~anisotropic medium JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2021 SP - 112 EP - 132 VL - 207 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2021_207_1_a7/ LA - ru ID - TMF_2021_207_1_a7 ER -
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A. A. Rakhmonov; U. D. Durdiev; Z. R. Bozorov. Problem of determining the~speed of sound and the~memory of an~anisotropic medium. Teoretičeskaâ i matematičeskaâ fizika, Tome 207 (2021) no. 1, pp. 112-132. http://geodesic.mathdoc.fr/item/TMF_2021_207_1_a7/