Analytic regularity for solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

Yemin Chen

doi:10.3934/krm.2010.3.645

Analytic regularity for 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

3 Citations (Scopus)

Abstract

In this paper, we consider the regularity of solutions to the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. In particular, we get the analytic smoothing effects for solutions obtained by Bagland if we assume all the moments for the initial datum are finite.

Original language	English
Pages (from-to)	645-667
Number of pages	23
Journal	Kinetic and Related Models
Volume	3
Issue number	4
DOIs	https://doi.org/10.3934/krm.2010.3.645
Publication status	Published - Dec 2010

Keywords

Analytic regularity
Gagliardo-Nirenberg's inequality
Sobolev embedding theorem
Spatially homogeneous Landau-Fermi-Dirac equation

Access to Document

10.3934/krm.2010.3.645

Cite this

@article{5c36b5214098409e8d0d66118b2f55c6,

title = "Analytic regularity for solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials",

abstract = "In this paper, we consider the regularity of solutions to the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. In particular, we get the analytic smoothing effects for solutions obtained by Bagland if we assume all the moments for the initial datum are finite.",

keywords = "Analytic regularity, Gagliardo-Nirenberg's inequality, Sobolev embedding theorem, Spatially homogeneous Landau-Fermi-Dirac equation",

author = "Yemin Chen",

year = "2010",

month = dec,

doi = "10.3934/krm.2010.3.645",

language = "English",

volume = "3",

pages = "645--667",

journal = "Kinetic and Related Models",

issn = "1937-5093",

publisher = "American Institute of Mathematical Sciences",

number = "4",

}

TY - JOUR

T1 - Analytic regularity for solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

AU - Chen, Yemin

PY - 2010/12

Y1 - 2010/12

N2 - In this paper, we consider the regularity of solutions to the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. In particular, we get the analytic smoothing effects for solutions obtained by Bagland if we assume all the moments for the initial datum are finite.

AB - In this paper, we consider the regularity of solutions to the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials. In particular, we get the analytic smoothing effects for solutions obtained by Bagland if we assume all the moments for the initial datum are finite.

KW - Analytic regularity

KW - Gagliardo-Nirenberg's inequality

KW - Sobolev embedding theorem

KW - Spatially homogeneous Landau-Fermi-Dirac equation

UR - http://www.scopus.com/inward/record.url?scp=84862672034&partnerID=8YFLogxK

U2 - 10.3934/krm.2010.3.645

DO - 10.3934/krm.2010.3.645

M3 - Article

AN - SCOPUS:84862672034

SN - 1937-5093

VL - 3

SP - 645

EP - 667

JO - Kinetic and Related Models

JF - Kinetic and Related Models

IS - 4

ER -

Analytic regularity for solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this