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math.AP2024
Reconstruction of the Doping Profile in Vlasov-Poisson
Ru-Yu Lai, Qin Li, Weiran Sun
We study the inverse problem of recovering the doping profile in the stationary Vlasov-Poisson equation, given the knowledge of the incoming and outgoing measurements at the bounda…
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…
math.AP2021
Single pixel X-ray transform and related inverse problems
Ru-Yu Lai, Gunther Uhlmann, Jian Zhai +1
In this paper, we analyze the nonlinear single pixel X-ray transform and study the reconstruction of from the measurement . Different from the well-known X-ray transfor…