MOKAMEETING 25 SEPTEMBER 14H . ROOM JLL INRIA PARIS
HongKai Zhao, UC Irvine.
Title: Instability of an inverse problem for the stationary radiative transport near the diffusion limit.
Abstract: In this talk we study the instability of an inverse problem of radiative transport equation with angularly averaged measurement near the diffusion limit. We show the transition of stability by establishing the balance of two different regimes depending on the relative size of the mean free path and the perturbation in measurements. When the free mean path is sufficiently small, one obtains exponential instability, which stands for the diffusive regime, and otherwise one obtains Holder instability, which stands for the transport regime.