Uniqueness of Bounded Solutions for the Homogeneous Landau Equation with a Coulomb Potential

被引：37

作者：

Fournier, Nicolas ^{[1
]}

机构：

[1] Univ Paris Est, Fac Sci & Technol, LAMA UMR 8050, F-94010 Creteil, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 299卷 / 03期

关键词：

BOLTZMANN-EQUATION; MAXWELLIAN MOLECULES; ANGULAR SINGULARITY; SOFT POTENTIALS; WELL-POSEDNESS; APPROXIMATION;

D O I：

10.1007/s00220-010-1113-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove the uniqueness of bounded solutions for the spatially homogeneous Fokker-Planck-Landau equation with a Coulomb potential. Since the local (in time) existence of such solutions has been proved by Arsen'ev-Peskov (Z. Vycisl. Mat. i Mat. Fiz. 17:1063-1068, 1977), we deduce a local well-posedness result. The stability with respect to the initial condition is also checked.

引用

页码：765 / 782

页数：18

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