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Local well-posedness for the Boltzmann equation with hard potentials
Hao-Guang Li, Wei-Xi Li, Chao-Jiang Xu
We consider the spatially inhomogeneous non-cutoff Boltzmann equation with hard potentials in the non-perturbative setting. For initial data with polynomial decay in the velocity v…
Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation
Hao-Guang Li, Chao-Jiang Xu
In this work, we study the nonlinear spatially homogeneous Landau equation with hard potential in a close-to-equilibrium framework, we show that the solution to the Cauchy problem…
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…
Cauchy problem for the spatially homogeneous landau equation with shubin class initial datum and gelfand-shilov smoothing effect
Hao-Guang Li, Chao-Jiang Xu
In this work, we study the nonlinear spatially homogeneous Lan-dau equation with Maxwellian molecules, by using the spectral analysis, we show that the non linear Landau operators…
The cauchy problem for radially symmetric homogeneous boltzmann equation with shubin class initial datum and gelfand-shilov smoothing effect
Hao-Guang Li, Chao-Jiang Xu
In this paper, we study the Cauchy problem for radially symmetric homogeneous non-cutoff Boltzmann equation with Maxwellian molecules, the initial datum belongs to Shubin space of…
Shubin regularity for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential
Léo Glangetas, Hao-Guang Li
In this work, we study the Cauchy problem for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential. We prove that this Cauchy problem enjoys…