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Determining a Corrosion Coefficient from a Boundary Measurement and an Attenuation Coefficient from an Internal Measurement

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Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

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Abstract

In this chapter we deal with two classical inverse problems. The first problem consists in determining a corrosion coefficient from a single electric measurement, while in the second problem we are concerned with the determination of an attenuation coefficient from an energy density. We establish for this two inverse problems logarithmic stability estimates by using the results of Chap. 2. The approach we employ is quite similar to that we used in Chap. 3.

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Correspondence to Mourad Choulli .

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Choulli, M. (2016). Determining a Corrosion Coefficient from a Boundary Measurement and an Attenuation Coefficient from an Internal Measurement. In: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-33642-8_4

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