@Article{JPDE-37-1,
author = {Xu, Chaojiang and Yan, Xu},
title = {Analytic Smoothing Effect of the Time Variable for the Spatially Homogeneous Landau Equation},
journal = {Journal of Partial Differential Equations},
year = {2024},
volume = {37},
number = {1},
pages = {88--103},
abstract = {<p style="text-align: justify;">In this work, we study the Cauchy problem of the spatially homogeneous
Landau equation with hard potentials in a close-to-equilibrium framework. We prove
that the solution to the Cauchy problem enjoys the analytic regularizing effect of the
time variable with an $L^2$ initial datum for positive time. So that the smoothing effect of the Cauchy problem for the spatially homogeneous Landau equation with hard
potentials is exactly same as heat equation.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v37.n1.5},
url = {https://global-sci.com/article/91197/analytic-smoothing-effect-of-the-time-variable-for-the-spatially-homogeneous-landau-equation}
}