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 - <p style="text-align: justify;">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.</p>