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math.AP2026
Harnack estimates for nondivergence kinetic equations
Zimo Hao, Xicheng Zhang
We establish a weak Harnack inequality for nonnegative strong supersolutions and a Harnack inequality for nonnegative strong solutions of the nondivergence-form kinetic equation \[…
math.AP2026
Kinetic Fokker-Planck Equations with Nonlinear Diffusion
Zimo Hao, Zhengyan Wu, Xicheng Zhang
We study existence, regularity, and uniqueness for the nonlinear kinetic Fokker--Planck equation on $\mathbb R^{2d…