Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations - Archive ouverte HAL Access content directly
Journal Articles Inverse Problems Year : 2018

Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations

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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Dates and versions

hal-01714738 , version 1 (02-03-2018)

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L. Beilina, Michel Cristofol, S. Li, M Yamamoto. Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Inverse Problems, 2018, 34 (1), ⟨10.1088/1361-6420/aa941d⟩. ⟨hal-01714738⟩
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