Uniqueness of Bounded Solutions for the Homogeneous Landau Equation with a Coulomb Potential
Uniqueness of Bounded Solutions for the Homogeneous Landau Equation with a Coulomb Potential
复制标题
具有库仑势的齐次朗道方程有界解的唯一性
DOI：
10.1007/s00220-010-1113-9
复制
发表时间：
2009
影响因子：
2.4
通讯作者：
N. Fournier
中科院分区：
文献类型：
--
作者：
N. Fournier
证明了具有库仑势的空间齐次Fokker-Planck-Landau方程有界解的唯一性。由于Arsen 'ev-Peskov （Z. Vycisl）已经证明了这些解的局部（时间）存在性。Mat. i Mat. Fiz. 17:1063-1068, 1977)，我们推导出一个局部适定性结果。对初始条件的稳定性也进行了检验。
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.