Display Abstract

Title Stability of the Calder\'on problem in admissible geometries

Name Pedro Caro
Country Finland
Email pedro.caro@helsinki.fi
Co-Author(s) Mikko Salo
Submit Time 2014-02-24 04:50:33
Session
Special Session 57: Inverse problems in PDE and geometry
Contents
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.