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Inverse Problems for Wave Equations on a Riemannian Manifold

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Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

The main general subject of this chapter is an inverse problem of identifying unknown spatially varying coefficients of a wave equation from measurement data on a lateral boundary. This problem is of interest to many researchers working in various applied fields. For example, we can mention inverse problems related to non-destructive testing techniques and the geophysical problem of finding properties of geophysical media by observations of wave fields on a part of the surface of the earth.

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Correspondence to Masahiro Yamamoto .

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Bellassoued, M., Yamamoto, M. (2017). Inverse Problems for Wave Equations on a Riemannian Manifold. In: Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems. Springer Monographs in Mathematics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-56600-7_5

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