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Volumn 20, Issue 15, 1997, Pages 1283-1312

On stationary Schrödinger-Poisson equations modelling an electron gas with reduced dimension

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER CONCENTRATION; ELECTROSTATICS; FERMI LEVEL; INTEGRATION; ITERATIVE METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; QUANTUM THEORY;

EID: 0031258239     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199710)20:15<1283::AID-MMA914>3.0.CO;2-P     Document Type: Article
Times cited : (12)

References (19)
  • 1
  • 2
    • 0007026304 scopus 로고
    • 2-integrability of second order derivatives for Poisson's equation in nonsmooth domains
    • 2-integrability of second order derivatives for Poisson's equation in nonsmooth domains', Math. Scand., 70, 146-160 (1992).
    • (1992) Math. Scand. , vol.70 , pp. 146-160
    • Adolfsson, V.1
  • 3
    • 85033176088 scopus 로고
    • preprint 66, Institute for Applied Analysis and Stochastics, Berlin, submitted to Mathematical Methods in the Applied Science
    • Albinus, G, 'On the discretization of a stationary Schrödinger-Poisson system', preprint 66, Institute for Applied Analysis and Stochastics, Berlin, 1993, submitted to Mathematical Methods in the Applied Science.
    • (1993) On the Discretization of a Stationary Schrödinger-Poisson System
    • Albinus, G.1
  • 4
    • 0001946136 scopus 로고
    • Analysis und Numerik des Ladungsträgertransports in Halbleitern
    • Gajewski, H., 'Analysis und Numerik des Ladungsträgertransports in Halbleitern', GAMM-Mitteilungen, 16, 35-57 (1993).
    • (1993) GAMM-Mitteilungen , vol.16 , pp. 35-57
    • Gajewski, H.1
  • 7
    • 0000120084 scopus 로고
    • 1.p-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
    • 1.p-estimate for solutions to mixed boundary value problems for second order elliptic differential equations', Math. Ann., 283, 679-687 (1989).
    • (1989) Math. Ann. , vol.283 , pp. 679-687
    • Gröger, K.1
  • 8
    • 0007068424 scopus 로고
    • 1.p for second order elliptic differential operators in case of mixed boundary conditions
    • 1.p for second order elliptic differential operators in case of mixed boundary conditions', Math. Ann. 285, 105-113 (1989).
    • (1989) Math. Ann. , vol.285 , pp. 105-113
    • Gröger, K.1    Rehberg, J.2
  • 10
    • 0003862232 scopus 로고
    • Grundlehren der Mathematischen Wissenschaften, Springer, Berlin
    • Kato, T., 'Perturbation theory for linear operators', Grundlehren der Mathematischen Wissenschaften, Vol. 132, Springer, Berlin, 1984.
    • (1984) Perturbation Theory for Linear Operators , vol.132
    • Kato, T.1
  • 12
    • 0001300815 scopus 로고
    • A stationary Schrôdinger Poisson system arising from the modeling of electronic devices
    • Nier, F., 'A stationary Schrôdinger Poisson system arising from the modeling of electronic devices', Forum Math., 2, 489-510 (1990).
    • (1990) Forum Math. , vol.2 , pp. 489-510
    • Nier, F.1
  • 13
    • 84947517811 scopus 로고
    • A variational formulation of Schrödinger-Poisson systems in dimension d ≤ 3
    • Nier, F., 'A variational formulation of Schrödinger-Poisson systems in dimension d ≤ 3,' Commun. Partial Differential Equations, 18, 1125-1147 (1993).
    • (1993) Commun. Partial Differential Equations , vol.18 , pp. 1125-1147
    • Nier, F.1
  • 15
    • 0012187543 scopus 로고
    • Theory of complex functions
    • Springer, New York
    • Remmert, R., Theory of complex functions', Graduate Texts in Mathematics, Vol. 122, Springer, New York, 1990.
    • (1990) Graduate Texts in Mathematics , vol.122
    • Remmert, R.1
  • 16
    • 2942692959 scopus 로고
    • Norm ideals of completely continuous operators
    • Neue Folge, Springer, Berlin
    • Schatten, R., 'Norm ideals of completely continuous operators', Ergebnisse der Mathematik und ihrer Grenzgebiete; Neue Folge, Vol. 27, Springer, Berlin, 1960.
    • (1960) Ergebnisse der Mathematik und Ihrer Grenzgebiete , vol.27
    • Schatten, R.1
  • 17
    • 0003242729 scopus 로고
    • On Dirichlet's boundary value problem
    • Springer, Berlin
    • Simader, C. G., 'On Dirichlet's boundary value problem', Lecture Notes in Mathematics, Vol. 268, Springer, Berlin, 1972.
    • (1972) Lecture Notes in Mathematics , vol.268
    • Simader, C.G.1
  • 18
    • 84967713024 scopus 로고
    • Fifty years of eigenvalue perturbation theory
    • Simon, B., 'Fifty years of eigenvalue perturbation theory', Bull. (new series) Amer Math Soc., 24, 303-319 (1991).
    • (1991) Bull. (New Series) Amer Math Soc. , vol.24 , pp. 303-319
    • Simon, B.1
  • 19
    • 0001117305 scopus 로고
    • Das asymtotissche Verteilungsgesetz der Eigenwerte linear partieller Differentialgleichungen
    • mit einer Anwendung auf die Thoerie der Hohlraumstrahlung
    • Weyl H., 'Das asymtotissche Verteilungsgesetz der Eigenwerte linear partieller Differentialgleichungen', (mit einer Anwendung auf die Thoerie der Hohlraumstrahlung), Math. Ann. 71, 441-479 (1911).
    • (1911) Math. Ann. , vol.71 , pp. 441-479
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.