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September 2021 Vlasov–Poisson–Fokker–Planck equation in E2,1s space
Jingchun Chen, Cong He
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Illinois J. Math. 65(3): 719-733 (September 2021). DOI: 10.1215/00192082-9402086

Abstract

In this paper, we are concerned about the local-in-time well-posedness of the Vlasov–Poisson–Fokker–Planck equation in E2,1s(R2n) which is a hybrid modulation Lebesgue space and related to the Gevery class only with respect to x variable. The difficulty lies in the estimates of the electronic term xϕ. To handle this, we establish a product formula and L2-Lq estimate.

Citation

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Jingchun Chen. Cong He. "Vlasov–Poisson–Fokker–Planck equation in E2,1s space." Illinois J. Math. 65 (3) 719 - 733, September 2021. https://doi.org/10.1215/00192082-9402086

Information

Received: 15 January 2021; Revised: 15 June 2021; Published: September 2021
First available in Project Euclid: 23 July 2021

Digital Object Identifier: 10.1215/00192082-9402086

Subjects:
Primary: 35Q84
Secondary: 35A01, 35A02, 42B37

Rights: Copyright © 2021 by the University of Illinois at Urbana–Champaign

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Vol.65 • No. 3 • September 2021
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