Stability transition for the inverse transport problem in the diffusive regimeCRC 1720: Early Career Seminar

by Alessandro Felisi

Tuesday Jul 14, 2026, 2:15 PM → 3:15 PM Europe/Berlin

Endenicher Allee 60/2. OG.-040 - Room 2.040 (Mathezentrum)

The inverse transport problem consists in retrieving the optical parameters of a medium, namely the absorption and the scattering coefficients, from measurements performed at the domain’s boundary. In this talk, I will show how the relative magnitude of absorption and scattering influences the stability properties of the inverse problem. In particular, I will explain how the severe ill-posedness encountered in the highly-scattering, low-absorption regime is strictly connected to the diffusion approximation in radiative transfer. This is joint work with E. Demattè, A. Rüland and J.J.L. Velázquez.