The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials

In this work, we study the Cauchy problem of the nonlinear spatially homogeneous Landau equation with hard potentials in a close-to-equilibrium framework. We prove that the solution of the Cauchy problem with the initial datum in L-2 enjoys an analytic regularizing effect, and the evolution of the analytic radius is the same as that of heat equations.

Automated summary

This study demonstrates the analytic regularizing effect of the Cauchy problem of the nonlinear Landau equation with hard potentials in a close-to-equilibrium framework. The evolution of the analytic radius is shown to be identical to that of heat equations.