Error estimates for Galerkin approximations to the periodic Schrodinger-Poisson system

被引:9
|
作者
Bohun, S
Illner, R
Lange, H
Zweifel, PF
机构
[1] VIRGINIA TECH,CTR TRANSPORT THEORY & MATH PHYS,BLACKSBURG,VA 24061
[2] UNIV COLOGNE,INST MATH,D-50931 COLOGNE,GERMANY
来源
关键词
D O I
10.1002/zamm.19960760103
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish convergence rates for a Galerkin approximation to the periodic Schrodinger-Poisson problem in the unit cube [0,1](3). The error estimates transform into corresponding L(infinity)-error estimates for the Wigner distribution function.
引用
收藏
页码:7 / 13
页数:7
相关论文
共 50 条
  • [31] POSITIVE SOLUTIONS FOR A NONLINEAR SCHRODINGER-POISSON SYSTEM
    Wang, Chunhua
    Yang, Jing
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (11) : 5461 - 5504
  • [32] Schrodinger-Poisson system with potential of critical growth
    Hassani, Abdessamad
    Iskafi, Khalid
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2016, 9 (04)
  • [33] On a Schrodinger-Poisson system with singularity and critical nonlinearities
    Cai, Zhipeng
    Lei, Chunyu
    Chu, Changmu
    BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [34] ON A CLASS OF ELLIPTIC SYSTEM OF SCHRODINGER-POISSON TYPE
    Ferreira, Lucas C. F.
    Medeiros, Everaldo S.
    Montenegro, Marcelo
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 97 (03) : 301 - 314
  • [35] Positive solutions for a nonhomogeneous Schrodinger-Poisson system
    Zhang, Jing
    Niu, Rui
    Han, Xiumei
    ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 1201 - 1222
  • [36] Note on a Schrodinger-Poisson system in a bounded domain
    Pisani, Lorenzo
    Siciliano, Gaetano
    APPLIED MATHEMATICS LETTERS, 2008, 21 (05) : 521 - 528
  • [37] Spectral Element Method for the Schrodinger-Poisson System
    Cheng, Candong
    Liu, Qing Huo
    Lee, Joon-Ho
    Massoud, Hisham Z.
    JOURNAL OF COMPUTATIONAL ELECTRONICS, 2004, 3 (3-4) : 417 - 421
  • [38] On a fractional Schrodinger-Poisson system with strong singularity
    Yu, Shengbin
    Chen, Jianqing
    OPEN MATHEMATICS, 2021, 19 (01): : 1538 - 1553
  • [39] Energy formulae for fractional Schrodinger-Poisson system
    Xiao, Jie
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 331 : 50 - 69
  • [40] On A Nonlocal Schrodinger-Poisson System With Critical Exponent
    Massar, Mohammed
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 44 - 52