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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	101-116
Number of pages	16
Journal	Acta Applicandae Mathematicae
Volume	113
Issue number	1
DOIs	https://doi.org/10.1007/s10440-010-9587-1
Publication status	Published - Jan 2011

Keywords

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

Access to Document

10.1007/s10440-010-9587-1

Cite this

Chen, Y. (2011). Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. Acta Applicandae Mathematicae, 113(1), 101-116. https://doi.org/10.1007/s10440-010-9587-1

@article{e7f41662e1084f5e8037839a64e5ed2a,

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",

author = "Yemin Chen",

year = "2011",

month = jan,

doi = "10.1007/s10440-010-9587-1",

language = "English",

volume = "113",

pages = "101--116",

journal = "Acta Applicandae Mathematicae",

issn = "0167-8019",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

AU - Chen, Yemin

PY - 2011/1

Y1 - 2011/1

N2 - 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.

AB - 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.

KW - Gagliardo-Nirenberg's inequality

KW - Method of induction

KW - Smoothing effects

KW - Spatially homogeneous Landau-Fermi-Dirac equation

UR - http://www.scopus.com/inward/record.url?scp=78651301747&partnerID=8YFLogxK

U2 - 10.1007/s10440-010-9587-1

DO - 10.1007/s10440-010-9587-1

M3 - Article

AN - SCOPUS:78651301747

SN - 0167-8019

VL - 113

SP - 101

EP - 116

JO - Acta Applicandae Mathematicae

JF - Acta Applicandae Mathematicae

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this