English

Analytic smoothing effect of linear landau equation with soft potential

Analysis of PDEs 2022-05-17 v1

Abstract

In this work, we study the linear Landau equation with soft potential and show that the solution to the Cauchy problem with initial datum in L2(R3)L^{2}(\mathbb{R}^3) enjoys an analytic regularizing effect, and the evolution of analytic radius is same as heat equations.

Keywords

Cite

@article{arxiv.2205.07270,
  title  = {Analytic smoothing effect of linear landau equation with soft potential},
  author = {Hao-Guang Li and Chao-Jiang Xu},
  journal= {arXiv preprint arXiv:2205.07270},
  year   = {2022}
}