Analytic smoothness effect of solutions for spatially homogeneous Landau equation

Hua Chen (1) , Wei-Xi Li (1) , Chao-Jiang Xu (2)

1 School of Mathematics and Statistics [Wuhan]
2 LMRS - Laboratoire de Mathématiques Raphaël Salem

In this paper, we study the smoothness effect of Cauchy problem for the spatially homogeneous Landau equation in the hard potential case and the Maxwellian molecules case. We obtain the analytic smoothing effect for the solutions under rather weak assumptions on the initial datum.

Mots clés: Landau equation Boltzmann equation Analytic regularity Smoothness effect

Domaines: Equations aux dérivées partielles [math.AP]

Hua Chen, Wei-Xi Li, Chao-Jiang Xu. Analytic smoothness effect of solutions for spatially homogeneous Landau equation. Journal of Differential Equations, 2010, 248, pp.77-94. ⟨10.1016/j.jde.2009.08.006⟩. ⟨hal-01116731⟩