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

页码：349 / 376

页数：28

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