Logarithmic Stability of the Refractive Index for the Acoustic Equation from Boundary Measurements

Aymen Jbalia ()
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Aymen Jbalia: Faculty of Sciences of Bizerte

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 1, 283-292

Abstract: Abstract We prove a stability estimate of logarithmic type for the inverse problem consisting in the determination of the refractive index of an obstacle from boundary measurements. We present a simple and direct proof, which is essentially based on a global Carleman inequality and the complex geometrical optics solutions.

Keywords: Inverse problems; stability estimate of logarithmic type; refractive index; Carleman inequality; complex geometrical optics solutions (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0324-9

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