3 papers
math.AP2025
Sharp Regularizing Effect of the Cauchy Problem for the Inhomogeneous Non-Cutoff Kac Equation
Xinzhi Cai, Hongmei Cao, Chao-jiang Xu
In this work, we study the spatially inhomogeneous Kac equation with a non-cutoff cross section in a setting close to equilibrium. We prove that the solution to the Cauchy problem…
math.AP2022
Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials
Hongmei Cao, Wei-Xi Li, Chao-Jiang Xu
We study the spatially inhomogeneous Landau equations with hard potential in the perturbation setting, and establish the analytic smoothing effect in both spatial and velocity vari…
math.AP2019
The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space
Hongmei Cao, Hao-Guang Li, Chao-Jiang Xu +1
In this work, we investigate the Cauchy problem for the spatially inhomogeneous non-cutoff Kac equation. If the initial datum belongs to the spatially critical Besov space, we can…