The Gevrey hypoellipticity for a class of kinetic equations

We investigate Gevrey order and summability properties of formal power series solutions of some classes of inhomogeneous linear par- tial di¤erential equations with variable coe¢

Cl´ ement Mouhot and Lukas Neumann, Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus, Nonlinearity 19 (2006), no. Ammon

The main theorem of this section deals with the case of large initial data, where only the local in time existence of solutions is known (cf. We prove the persistence of

The local solutions having the Gevrey regularity have been constructed in [21] for initial data having the same Gevrey regularity, and a genearal Gevrey regularity results have given

For regularized MHD equations, Yu and Li [19] studied Gevrey class regularity of the strong solu- tions to the MHD-Leray-alpha equations and Zhao and Li [22] studied analyticity of

By using the energy-type inequality, we obtain, in this paper, the result on propagation of Gevrey regularity for the solution of the spatially homogeneous Landau equation in the

In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge-Amp` ere equations in the plane, under the as- sumption that one principle entry of