Inverse transport consists of reconstructing the optical properties of a domain from
measurements performed at the domain's boundary. This review concerns several types of …

Mathematical models of the most physical phenomena are governed by initial and boundary
value problems for partial differential equations (PDEs). Inverse problems governed by …

We consider an inverse problem for the Boltzmann equation with nonlinear collision
operator in dimensions n≧2. We show that the kinetic collision kernel can be uniquely …

Our global understanding of clouds and aerosols relies on the remote sensing of their
optical, microphysical, and macrophysical properties using, in part, scattered solar radiation …

For autonomous driving applications, we investigate the fog Droplet Size Distribution (DSD)
identification from spectral radiation measurements in the range 350 nm–2500 nm by …

This chapter focuses on the Calderón problem, which is another inverse diffusion problem
with a similar behavior to the Cauchy problems considered in the preceding chapter …

We consider the inverse problem of reconstructing the optical parameters of the radiative
transfer equation (RTE) from boundary measurements in the diffusion limit. In the diffusive …

We present a self-contained analysis of the stationary radiative transfer equation in weighted
spaces. The use of weighted spaces allows us to derive uniform a-priori estimates for under …

In this work, we study the instability of an inverse problem of radiative transport equation with
angularly independent source and angularly averaged measurement near the diffusion limit …