2 papers
math.AP2024
Partial data inverse problems for the nonlinear magnetic Schrödinger equation
Ru-Yu Lai, Gunther Uhlmann, Lili Yan
In this paper, we study the partial data inverse problem for nonlinear magnetic Schrödinger equations. We show that the knowledge of the Dirichlet-to-Neumann map, measured on an ar…
math.AP2023
Stable determination of time-dependent collision kernel in the nonlinear Boltzmann equation
Ru-Yu Lai, Lili Yan
We consider an inverse problem for the nonlinear Boltzmann equation with a time-dependent kernel in dimensions . We establish a logarithm-type stability result for the coll…