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In this talk we will show a \textit{log log} type stability estimates for inverse boundary value problems (IBVPs) on admissible Riemannian manifolds of dimension $n \geq 3$. These inverse problems arise naturally when studying the anisotropic Calder\'on problem. The basic approach to prove these estimates bases on the use of complex geometrical optics, which restricts our study to suitable Riemannian manifold denoted as admissible. In the way to prove the stability for these IBVPs, we will need to get stability estimates for a mixed Fourier/attenuated geodesic ray transform. |
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