[1] Alexandre R, Morimoto Y, Ukai S, et al.Uncertainty principle and kinetic equations. J Funct Anal, 2008, 255: 2013-2066 [2] Chen H, Li W X, Xu C J. Analytic smoothness effect of solutions for spatially homogeneous Landau eqaution. Journal of Differential Equations2010, 248: 77-94 [3] Chen H, Li W X, Xu C J. Propagation of Gevrey regularity for solutions of Landau equations. Kinetic and Related Models, 2008, 1: 355-368 [4] Chen H, Li W X, Xu C J. Gevrey regularity for solution of the spatially homogeneous Landau equation. Acta Mathematics Scientia, 2009, 29B: 673-686 [5] Degond P, Lemou M. Dispersion Relations for the Linearized Fokker-Planck Equation. Arch Rat Mech Anal, 1997, 138: 137-167 [6] Desvillettes L, Villani C. On the spatially homogeneous Landau equation for hard potentials. I. Existence, uniqueness and smoothness. Comm Partial Differential Equations, 2000, 25: 179-259 [7] Guo Y. The Landau equation in a periodic box. Comm Math Phys, 2002, 231: 391-434 [8] Lerner N, Morimoto Y, Pravda-Starov K, Xu C J. Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators. Kinet Relat Models, 2013, 6: 625-648 [9] Li H G. The Gelfand-Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum. Comptes Rendus Mathematique, 2018, 356: 613-625 [10] Li H G, Xu C J. Cauchy problem for the spatially homogeneous landau equation with shubin class initial datum and Gelfand-Shilov smoothing effect. SIAM J Math Anal, 2019, 51: 532-564 [11] Li H G, Xu C J.Analytic smoothing effect of the non-linear spatially homogeneous Landau equation with hard potentials. Science China Mathematics, 2022, 65: 2079-2098 [12] Morimoto Y, Xu C J. Ultra-analytic effect of Cauchy problem for a class of kinetic equations. Journal of Differential Equations, 2009, 247: 596-617 [13] Morimoto Y, Pravda-Starov K, Xu C J. A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation. Kinetic and Related Models, 2013, 6: 715-727 [14] Villani C. On the spatially homogeneous Landau equation for Maxwellian molecules. Mathematical Models and Methods in Applied Sciences, 1998, 8: 957-983 |