GLOBAL EXISTENCE, UNIQUENESS AND ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF THE WIGNER-POISSON AND SCHRODINGER-POISSON SYSTEMS

被引：85
|
作者：
ILLNER, R [1 ]
ZWEIFEL, PF [1 ]
LANGE, H [1 ]
机构：
[1] UNIV COLOGNE,FACHBEREICH MATH,W-3000 COLOGNE,GERMANY
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1994年 / 17卷 / 05期
关键词：
D O I：
10.1002/mma.1670170504
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove global existence and uniqueness of classical solutions of the Wigner-Poisson and Schrodinger-Poisson systems of equations for both repulsive and attractive potentials. In the repulsive case, we prove decay estimates for the particle density, the potential and the solutions.
引用
收藏
页码：349 / 376
页数：28
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