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

共 50 条

[1] PERIODIC AND STATIONARY SOLUTIONS TO THE SCHRODINGER-POISSON AND WIGNER-POISSON SYSTEMS
KAVIAN, O
LANGE, H
ZWEIFEL, PF
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1994, 74 (06): : T606 - T608
[2] Asymptotic behavior to the 3-D Schrodinger/Hartree-Poisson and Wigner-Poisson systems
López, JL
Soler, J
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 10 (06): : 923 - 943
[3] FRACTIONAL SCHRODINGER-POISSON SYSTEM WITH SINGULARITY: EXISTENCE, UNIQUENESS, AND ASYMPTOTIC BEHAVIOR
Yu, Shengbin
Chen, Jianqing
GLASGOW MATHEMATICAL JOURNAL, 2021, 63 (01) : 179 - 192
[4] Existence and asymptotic behavior of solutions for nonlinear Schrodinger-Poisson systems with steep potential well
Du, Miao
Tian, Lixin
Wang, Jun
Zhang, Fubao
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (03)
[5] THE ONE-DIMENSIONAL WIGNER-POISSON PROBLEM AND ITS RELATION TO THE SCHRODINGER-POISSON PROBLEM
STEINRUCK, H
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (04) : 957 - 972
[6] Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrodinger-Poisson Systems
Yu, Mingzhu
Chen, Haibo
ADVANCED NONLINEAR STUDIES, 2021, 21 (03) : 661 - 681
[7] Uniqueness for dissipative Schrodinger-Poisson systems
Neidhardt, H
Rehberg, J
JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (11)
[8] On the existence of solutions for the Schrodinger-Poisson equations
Zhao, Leiga
Zhao, Fukun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 346 (01) : 155 - 169
[9] Existence of ground state solutions for the Schrodinger-Poisson systems
Liu, Zhisu
Guo, Shangjiang
Zhang, Ziheng
APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 312 - 323
[10] Existence, uniqueness and multiplicity of positive solutions for Schrodinger-Poisson system with singularity
Zhang, Qi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 437 (01) : 160 - 180

← 1 2 3 4 5 →