Vlasov-Poisson-Fokker-Planck in Fractional Sobolev-Lebesgue Spaces

In this paper, we are concerned with the local well-posedness of the Vlasov-Poisson-Fokker-Planck equation near vacuum in the fractional Sobolev-Lebesgue space for the large initial data. To achieve this goal, we mainly adopt the energy method. In order to obtain the energy estimate, we establish an...

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Bibliographic Details
Main Authors: Jingchun Chen, Cong He
Format: Article
Language:English
Published: Mathyze Publishers 2022-12-01
Series:Pan-American Journal of Mathematics
Online Access:https://mathyze.com/index.php/pajm/article/view/83