Gelfand-Shilov Smoothing Effect for the Radially Symmetric Spatially Homogeneous Landau Equation under the Hard Potential γ = 2

Based on the spectral decomposition for the linear and nonlinear radially symmetric homogeneous non-cutoff Landau operators under the hard potential gamma = 2 in perturbation framework, we prove the existence and Gelfand-Shilov smoothing effect for solution to the Cauchy problem of the symmetric homogenous Landau equation with small initial datum.

Automated summary

This study demonstrates the spectral decomposition of linear and nonlinear radially symmetric homogeneous non-cutoff Landau operators under the hard potential gamma = 2 in a perturbation framework, proving the existence of solutions and the Gelfand-Shilov smoothing effect for the Cauchy problem of the symmetric homogenous Landau equation with small initial datum.