Hölder stability of quantitative photoacoustic tomography based on partial data

Venue: 210, Building 2, Haina Court, Zijingang Campus

Speaker: Professor Faouzi Triki (University Grenoble Alpes)

Abstract: The talk is related to the inverse problem of reconstructing the diffusion and absorption coefficients of the diffusion equation from internal data in photo-acoustic imaging. I will show that the problem is Hölder stable in subregions close to the boundary where the internal information is available. The Hölder exponent converges to a positive constant independent of the subregion as the subregion contracts towards the boundary. I will also present several numerical tests that illustrate the theoretical results.