Title: Weighted gevrey class regularity of euler equation in the whole space,
Abstract: In this paper we study the weighted Gevrey class regularity of Euler equation
in the whole space R 3. We first establish the local existence of Euler
equation in weighted Sobolev space, then obtain the weighted Gevrey regularity
of Euler equation. We will use the weighted Sobolev-Gevrey space method to
obtain the results of Gevrey regularity of Euler equation, and the use of the
property of singular operator in the estimate of the pressure term is the
improvement of our work.