Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

Yemin Chen

doi:10.1007/s10440-010-9587-1

Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

Yemin Chen^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

We consider in this paper the regularity of weak solutions to the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. In particular, we prove that the weak solution obtained by Bagland becomes immediately smooth if we assume all the moments for the initial datum are finite.

源语言	英语
页（从-至）	101-116
页数	16
期刊	Acta Applicandae Mathematicae
卷	113
期	1
DOI	https://doi.org/10.1007/s10440-010-9587-1
出版状态	已出版 - 1月 2011

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10.1007/s10440-010-9587-1

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title = "Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials",

abstract = "We consider in this paper the regularity of weak solutions to the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. In particular, we prove that the weak solution obtained by Bagland becomes immediately smooth if we assume all the moments for the initial datum are finite.",

keywords = "Gagliardo-Nirenberg's inequality, Method of induction, Smoothing effects, Spatially homogeneous Landau-Fermi-Dirac equation",

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KW - Gagliardo-Nirenberg's inequality

KW - Method of induction

KW - Smoothing effects

KW - Spatially homogeneous Landau-Fermi-Dirac equation

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Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

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