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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 4, Pages 747–757 (Mi smj1104)  
This article is cited in 8 scientific papers (total in 8 papers)

Uniqueness in one inverse problem for the elasticity system

A. L. Bukhgeima, G. V. Dyatlova, V. B. Kardakovb, E. V. Tantsereva

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University of Architecture and Civil Engineering
Full-text PDF (218 kB) Citations (8)
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Abstract: We consider an inverse problem for the stationary elasticity system with constant Lame coefficients and a variable matrix coefficient depending on the spatial variables and frequency. The right-hand side contains a delta-function whose support (source) varies in some domain disjoint from the support of the variable coefficient. The inverse problem is to find the coefficient from the scattered wave measured at the same point at which the perturbation originates. A uniqueness theorem is proven. The proof bases on reduction of the inverse problem to a family of equations with the M. Riesz potential.
Keywords: inverse problem, elasticity system, memory, Riesz potential, integral equation of the first kind, low frequency data.
Received: 01.12.2001
Revised: 29.09.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 4, Pages 618–627
DOI: https://doi.org/10.1023/B:SIMJ.0000035828.43530.0c
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. L. Bukhgeim, G. V. Dyatlov, V. B. Kardakov, E. V. Tantserev, “Uniqueness in one inverse problem for the elasticity system”, Sibirsk. Mat. Zh., 45:4 (2004), 747–757; Siberian Math. J., 45:4 (2004), 618–627
Citation in format AMSBIB
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\issue 4
\pages 747--757
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\transl
\jour Siberian Math. J.
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\issue 4
\pages 618--627
\crossref{https://doi.org/10.1023/B:SIMJ.0000035828.43530.0c}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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