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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 207, Number 1, Pages 112–132
DOI: https://doi.org/10.4213/tmf10035 (Mi tmf10035) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Problem of determining the speed of sound and the memory of an anisotropic medium

A. A. Rakhmonovab, U. D. Durdievab, Z. R. Bozorovab

a Bukhara Branch of the Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Bukhara, Uzbekistan
b Bukhara State University, Bukhara, Uzbekistan
Full-text PDF (525 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf10035
Abstract: 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, Fourier transform, Heaviside step function, Dirac function, Lamé parameter.
Received: 14.12.2020
Revised: 30.12.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 207, Issue 1, Pages 494–513
DOI: https://doi.org/10.1134/S0040577921040085
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Rakhmonov, U. D. Durdiev, Z. R. Bozorov, “Problem of determining the speed of sound and the memory of an anisotropic medium”, TMF, 207:1 (2021), 112–132; Theoret. and Math. Phys., 207:1 (2021), 494–513
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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