Regularizing effect of the spatially homogeneous Landau equation with soft potential
Analysis of PDEs
2025-03-04 v2
Abstract
This paper investigates the Cauchy problem of the spatially homogeneous Landau equation with soft potential under the perturbation framework to global equilibrium. We prove that the solution to the Cauchy problem exhibits analyticity in the time variable and the Gelfand-Shilov regularizing effect in the velocity variables.
Cite
@article{arxiv.2502.12543,
title = {Regularizing effect of the spatially homogeneous Landau equation with soft potential},
author = {Xiao-Dong Cao and Chao-Jiang Xu and Yan Xu},
journal= {arXiv preprint arXiv:2502.12543},
year = {2025}
}
Comments
24 pages