Discrete Schrödinger-Poisson systems preserving energy and mass

Applied Mathematics Letters

Volumn 13, Issue 7, 2000, Pages 27-32

  Ringhofer, C ^a,c   Soler, J ^b  

^a Erwin Schrodinger International Institute for Mathematical Physics   (Austria)

^b UNIVERSITY OF GRANADA   (Spain)

^c ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041026785     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00072-0     Document Type: Article

References (4)

1. P. Markowich, C. Ringhofer and C. Schmeiser, Semiconductor Equations, Springer, (1990).
2. E. Ruiz Arriola and J. Soler, A variational approach to the Schrödinger-Poisson system: Asymptotic behaviour and stability, (preprint).
3. 2-solutions to the Schödinger-Poisson system: Existence, uniqueness, time behaviour and smoothing effects, Math. Mod. Meth. Appl. Sci. 7, 1051-1083, (1997).
4. R. Illner, P.F. Zweifel and H. Lange, Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger-Poisson systems, Math. Meth. Appl. Sci. 17, 349-376, (1994).