Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions

Jann Long Chern; Maria Gualdani

doi:10.4310/MRL.2022.V29.N4.A2

Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions

Jann Long Chern
, Maria Gualdani

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

5 引文斯高帕斯（Scopus）

摘要

We are concerned with the uniqueness of weak solution to the spatially homogeneous Landau equation with Coulomb interactions under the assumption that the solution is bounded in the space L^∞(0, T, L^p(R³)) for some p > 3/2. The proof uses a weighted Poincaré-Sobolev inequality recently introduced in [11].

原文	英語
頁（從 - 到）	945-960
頁數	16
期刊	Mathematical Research Letters
卷	29
發行號	4
DOIs	https://doi.org/10.4310/MRL.2022.V29.N4.A2
出版狀態	已發佈 - 2022

ASJC Scopus subject areas

一般數學

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10.4310/MRL.2022.V29.N4.A2

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AU - Gualdani, Maria

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AB - We are concerned with the uniqueness of weak solution to the spatially homogeneous Landau equation with Coulomb interactions under the assumption that the solution is bounded in the space L∞(0, T, Lp(R3)) for some p > 3/2. The proof uses a weighted Poincaré-Sobolev inequality recently introduced in [11].

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UR - https://www.scopus.com/pages/publications/85150328035#tab=citedBy

U2 - 10.4310/MRL.2022.V29.N4.A2

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M3 - Article

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JO - Mathematical Research Letters

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Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions

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