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math.PR2016★ 1 cited
On the equivalence between some jumping SDEs with rough coefficients and some non-local PDEs
Nicolas Fournier, Liping Xu
We study some jumping SDE and the corresponding Fokker-Planck (or Kolmogorov forward) equation, which is a non-local PDE. We assume only some measurability and growth conditions on…
math.PR2016
Uniqueness and propagation of chaos for the Boltzmann equation with moderately soft potentials
Liping Xu
We prove a strong/weak stability estimate for the 3D homogeneous Boltzmann equation with moderately soft potentials () using the Wasserstein distance with quadratic cos…