https://sites.google.com/view/liliyan/
Thu, November 2, 2023, 9:00-10:00 am PDT via Zoom
Title: Stable determination of time-dependent collision kernel in the nonlinear Boltzmann equation.
Abstract: In this talk, we consider an inverse problem for the nonlinear Boltzmann equation with a time-dependent kernel in dimensions $n\ge 2$. We establish a logarithm-type stability result for the collision kernel from measurements under certain additional conditions. A uniqueness result is derived as an immediate consequence of the stability result. Our approach relies on second-order linearization, multivariate finite differences, as well as the stability of the light-ray transform. This is based on joint work with Ru-Yu Lai.