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Title
| - Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity
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Abstract
| - In this paper, we consider a transmission wave equation in N embedded domains with multiple interfaces of discontinuous coefficients in ℝ 2. We study the global stability in determining the source term from a one-measurement data of wavefield velocity in a subboundary over a time interval. We prove the stability estimate for this inverse source problem by a combination of the local hyperbolic/elliptic Carleman estimates and the Fourier-Bros-Iagolniter transformation. Our method could be generalized to general dimensions since the weight functions and Carleman estimates are independent of the dimensions.
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| - © The authors. Published by EDP Sciences, SMAI 2023
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| - The authors. Published by EDP Sciences, SMAI
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