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