Analytic smoothing effect of the time variable for the spatially homogeneous Landau equation
Analysis of PDEs
2022-06-07 v1
Abstract
In this work, we study the Cauchy problem of the spatially homogeneous Landau equation with hard potentials in a close-to-quilibrium framework. We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time variable with an L2 initial datum for positive time. So that the smoothing effect of Cauchy problem for the spatially homogeneous Landau equation with hard potentials is exactly same as heat equation.
Cite
@article{arxiv.2206.02441,
title = {Analytic smoothing effect of the time variable for the spatially homogeneous Landau equation},
author = {Chao-Jiang Xu and Yan Xu},
journal= {arXiv preprint arXiv:2206.02441},
year = {2022}
}