Vlasov-Poisson equation in weighted Sobolev space $W^{m, p}(w)$

In this paper, we are concerned about the well-posedness of Vlasov-Poisson equation near vaccum in weighted Sobolev space $W^{m, p}(w).$ The most difficult part comes from estimates of the electronic term $\nabla_{x}\phi.$ To overcome this difficulty, we establish the $L^p$-$L^q$ estimates of th...

Full description

Bibliographic Details
Main Authors: Cong He, Jingchun Chen
Format: Article
Language:English
Published: Universidad de La Frontera 2022-08-01
Series:Cubo
Subjects:
Online Access:https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3095/2198