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  • Beilina, Larisa, 1970, et al. (author)
  • Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
  • 2018
  • In: Inverse Problems. - : IOP Publishing. - 0266-5611 .- 1361-6420. ; 34:1
  • Journal article (peer-reviewed)abstract
    • We consider an inverse problem of reconstructing two spatially varying coefficients in an acoustic equation of hyperbolic type using interior data of solutions with suitable choices of initial condition. Using a Carleman estimate, we prove Lipschitz stability estimates which ensure unique reconstruction of both coefficients. Our theoretical results are justified by numerical studies on the reconstruction of two unknown coefficients using noisy backscattered data.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Li, S. (1)
Beilina, Larisa, 197 ... (1)
Yamamoto, M. (1)
Cristofol, M. (1)
University
University of Gothenburg (1)
Chalmers University of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2018 (1)

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