Stability of the Calderón Problem for Less Regular Conductivities

Pedro Caro^*

In this talk I will present a log-type stability estimate for the Calderón problem with conductivities in $ C^{1,\varepsilon}(\overline{\Omega}) $. More precisely, we quantify a recent uniqueness result due to Haberman and Tataru in which they prove uniqueness for continuously differentiable conductivities. The aforementioned stability estimate was proved in a joint paper with Andoni García and Juan Reyes.

Mathematics Subject Classification: 65N21

Keywords: Inverse boundary value problems, Calderón problem, Stability estimates

Minisymposion: Harmonic Analysis with Applications to Uniqueness and Inverse Estimates for PDEs