Gevrey Regularity for Solution of the Spatially Homogeneous Landau Equation

TL;DR

This paper investigates the Gevrey class regularity of solutions to the spatially homogeneous Landau equation, focusing on hard potentials and Maxwellian molecules, to understand their smoothness properties.

Contribution

It establishes Gevrey regularity results for solutions of the Landau equation in specific potential cases, advancing the understanding of solution smoothness.

Findings

Gevrey regularity holds for solutions in the hard potential case

Gevrey regularity results are extended to Maxwellian molecules

The paper provides new insights into the smoothness of solutions

Abstract

In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules case.