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

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue 1, 1996, Pages 7-13

  Bohun, S ^b   Illner, R ^b   Lange, H ^a   Zweifel, P F ^c  

^a UNIVERSITY OF COLOGNE   (Germany)

^b UNIVERSITY OF VICTORIA   (Canada)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748199215     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19960760103     Document Type: Article

References (10)

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2. BREZZI, F.; MARKOWICH, P.: The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Math. Meth. Appl. Sci. 14 (1991), 35-62.
3. ILLNER, R.; LANGE, H.; ZWEIFEL, P. F.: Global existence, uniqueness and asymptotic behavior of solutions of the Wigner-Poisson and Schrödinger-Poisson systems. Math. Meth. Appl. Sci. 17 (1994), 349-376.
4. MARKOWICH, P. A.; RINGHOFER, C.; SCHMEISER, C.: Semiconductor equations. Springer-Verlag, Wien 1990.
5. MARKOVICH, P. A.: On the equivalence of the Schrödinger and the quantum Liouville equations. Math. Meth. Appl. Sci. 11 (1989), 459-469.
6. ZWEIFKL, P. F.: The Wigner transform and the Wigner-Poisson system. Trans. Theor. Statist. Phys. 22 (1993), 459-484.
7. BATT, J.; REIN, G.: Global classical solutions of the periodic Vlasov-Poisson system in three dimensions. Preprint 1992.
8. BATT, J.; REIN, G.: A rigorous stability result for the Vlasov-Poisson system in three dimensions. Anal. di Mat. Pura ed Appl. (to appear).
9. ARNOLD, A.; MARKOWICH, P. A.: The periodic quantum Liouville-Poisson problem. Bull. U.M.I. 4-B (1990), 449-484.
10. JACKSON, D.: The theory of approximation. AMS Colloq. Publ. XI, New York 1930 or MEINARDUS, G.: Approximation of functions: Theory and numerical methods. Springer, New York 1967.