[1] Chen Y. Smoothness of Classical Solutions to the Vlasov-Poisson-Landau System. Kinetic and Related Models, 2008, 1(3): 369–386
[2] Chen Y M, Desvillettes L, He L B. Smoothing Effects for Classic Solutions of the Full Landau Equation. Arch Rational Mech Anal, 2009, 193: 2155
[3] Chen H, Li W, Xu C J. Gevrey Regularity for Solution of the Spatially Homogeneous Landau Equation. Acta Mathematica Scientia, 2009, 29B(3): 673–686
[4] Desvillettes L. On asymptotics of the Boltzmann equation when the collisions become grazing Transp. Th Stat Phys, 1992, 21(3): 259–276
[5] Desvillettes L, Villani C. On the Spatially Homogeneous Landau Equation for Hard Potentials, Part I: Existence, Uniqueness and Smoothness. Comm Partial Differential Equations, 2000, 25(1/2): 179–259
[6] Guo Y. The Landau Equation in a Periodic Box. Comm Math Phys, 2002, 231(3): 391–434
[7] H¨ormander L. The Analysis of Linear Partial Differential Operator. Springer-Verlag, 1983.
[8] Morimoto Y, Ukai S, Xu C J, Yang T. Regularity of solutions to the spatially homogeneous Boltzmann equation without Angular cutoff. Discrete Contin Dyn Syst, 2009, 24A: 187–212
[9] Morimoto Y, Xu C J. Ultra-analytic effect of Cauchy problem for a class of kinetic equations. J Diff Equat, 2009, 247: 596–617
[10] Villani C. On the spatially homogeneous Landau equation for Maxwellian molecules. Math Model and Methods appl Sciences, 1998, 8: 957–983
[11] Villani C. On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch Rational Mech Anal, 1998, 143: 273–307 |