Hölder Stability in Quantitative Photoacoustic Tomography - Imaging and Inverse Problems Seminar

Explore a virtual seminar on quantitative photoacoustic tomography and its applications in imaging and inverse problems. Delve into the reconstruction of diffusion and absorption coefficients in the diffusion equation using partial internal data. Learn about Hölder stability in inverse problem solving, particularly in subregions where internal information is reliably supplied. Examine the mathematical foundations of stability estimation in Cauchy problems related to diffusion coefficients. Discover how the Hölder stability exponent behaves as the subregion approaches the boundary. Gain insights into numerical experiments demonstrating local reconstruction of diffusion and absorption coefficients in both smooth and discontinuous media. Presented by Faouzi Triki from Grenoble Alpes University, this talk offers a deep dive into advanced mathematical techniques for solving complex imaging problems.