TY - JOUR T1 - Gelfand-Shilov Smoothing Effect for the Radially Symmetric Spatially Homogeneous Landau Equation under the Hard Potential $\gamma=2$ AU - Li , Haoguang AU - Wang , Hengyue JO - Journal of Partial Differential Equations VL - 1 SP - 11 EP - 30 PY - 2021 DA - 2021/10 SN - 35 DO - http://doi.org/10.4208/jpde.v35.n1.2 UR - https://global-sci.org/intro/article_detail/jpde/19905.html KW - Gelfand-Shilov smoothing effect, spectral decomposition, Landau equation, hard potential $\gamma=2.$ AB -

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.