메뉴 건너뛰기




Volumn 281, Issue 12, 2008, Pages 1676-1693

Stationary solutions to an energy model for semiconductor devices where the equations are defined on different domains

Author keywords

Charge and energy transport in heterostructures; Energy models; Existence; Implicit function theorem; Mass; Mixed boundary conditions; Regularity; Strongly coupled elliptic systems; Uniqueness

Indexed keywords


EID: 56849096001     PISSN: 0025584X     EISSN: 15222616     Source Type: Journal    
DOI: 10.1002/mana.200710707     Document Type: Review
Times cited : (6)

References (14)
  • 1
    • 0042974062 scopus 로고    scopus 로고
    • Thermodynamic design of energy models of semiconductor devices
    • G. Albinus, H. Gajewski, and R. Hünlich, Thermodynamic design of energy models of semiconductor devices, Nonlinearity 15, 367-383 (2002).
    • (2002) Nonlinearity , vol.15 , pp. 367-383
    • Albinus, G.1    Gajewski, H.2    Hünlich, R.3
  • 2
    • 33847127029 scopus 로고    scopus 로고
    • Analysis of a parabolic cross-diffusion semiconductor model with electron-hole scattering
    • L. Chen and A. Jüngel, Analysis of a parabolic cross-diffusion semiconductor model with electron-hole scattering, Comm. Partial Differential Equations 32, 127-148 (2007).
    • (2007) Comm. Partial Differential Equations , vol.32 , pp. 127-148
    • Chen, L.1    Jüngel, A.2
  • 3
    • 0032183027 scopus 로고    scopus 로고
    • A steady-state system in nonequilibrium thermodynamics including thermal and electrical effects
    • P. Degond, S. Génieys, and A. Jüngel, A steady-state system in nonequilibrium thermodynamics including thermal and electrical effects, Math. Methods Appl. Sci. 21, 1399-1413 (1998).
    • (1998) Math. Methods Appl. Sci , vol.2 , Issue.1 , pp. 1399-1413
    • Degond, P.1    Génieys, S.2    Jüngel, A.3
  • 4
    • 84985371490 scopus 로고
    • Semiconductor equations for variable mobilities based on Boltzmann statistics or Fermi-Dirac statistics
    • H. Gajewski and K. Gröger, Semiconductor equations for variable mobilities based on Boltzmann statistics or Fermi-Dirac statistics, Math. Nachr. 140, 7-36 (1989).
    • (1989) Math. Nachr , vol.140 , pp. 7-36
    • Gajewski, H.1    Gröger, K.2
  • 5
    • 56849097285 scopus 로고    scopus 로고
    • H. Gajewski and K. Gröger, Initial boundary value problems modelling heterogeneous semiconductor devices, in: Surveys on Analysis, Geometry and Mathematical Physics, edited by B. W. Schulze and H. Triebel, Teubner-Texte zur Mathematik Bd. 117 (Teubner, Leipzig, 1990), pp. 4-53.
    • H. Gajewski and K. Gröger, Initial boundary value problems modelling heterogeneous semiconductor devices, in: Surveys on Analysis, Geometry and Mathematical Physics, edited by B. W. Schulze and H. Triebel, Teubner-Texte zur Mathematik Bd. 117 (Teubner, Leipzig, 1990), pp. 4-53.
  • 6
    • 56849125161 scopus 로고    scopus 로고
    • H. Gajewski, Analysis und Numerik von Ladungstransport in Halbleitern, GAMM Mitt. Ges. Angew. Math. Mech. 16, 35-57 (1993).
    • H. Gajewski, Analysis und Numerik von Ladungstransport in Halbleitern, GAMM Mitt. Ges. Angew. Math. Mech. 16, 35-57 (1993).
  • 7
    • 0037509741 scopus 로고
    • On the uniqueness of solutions to the drift-diffusion-model of semiconductor devices
    • H. Gajewski, On the uniqueness of solutions to the drift-diffusion-model of semiconductor devices, Math. Models Methods Appl. Sci. 4, 121-133 (1994).
    • (1994) Math. Models Methods Appl. Sci , vol.4 , pp. 121-133
    • Gajewski, H.1
  • 8
    • 27744506009 scopus 로고    scopus 로고
    • Stationary solutions of two-dimensional heterogeneous energy models with multiple species
    • A. Glitzky and R. Hünlich, Stationary solutions of two-dimensional heterogeneous energy models with multiple species, Banach Center Publ. 66, 135-151 (2004).
    • (2004) Banach Center Publ , vol.66 , pp. 135-151
    • Glitzky, A.1    Hünlich, R.2
  • 9
    • 27744603801 scopus 로고    scopus 로고
    • Stationary energy models for semiconductor devices with incompletely ionized impurities
    • A. Glitzky and R. Hünlich, Stationary energy models for semiconductor devices with incompletely ionized impurities, Z. Angew. Math. Mech. 85, 778-792 (2005).
    • (2005) Z. Angew. Math. Mech , vol.85 , pp. 778-792
    • Glitzky, A.1    Hünlich, R.2
  • 10
    • 36148959737 scopus 로고    scopus 로고
    • -1'p related to strongly coupled linear parabolic systems with coupled nonsmooth capacities
    • -1'p related to strongly coupled linear parabolic systems with coupled nonsmooth capacities, Math. Methods Appl. Sci. 30, 2215-2232 (2007).
    • (2007) Math. Methods Appl. Sci , vol.30 , pp. 2215-2232
    • Glitzky, A.1    Hünlich, R.2
  • 11
    • 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
  • 12
    • 33751537654 scopus 로고    scopus 로고
    • Applications of differential calculus to quasilinear elliptic boundary value problems with nonsmooth data, NoDEA
    • K. Gröger and L. Recke, Applications of differential calculus to quasilinear elliptic boundary value problems with nonsmooth data, NoDEA, Nonlinear Differ. Equ. Appl. 13, 263-285 (2006).
    • (2006) Nonlinear Differ. Equ. Appl , vol.13 , pp. 263-285
    • Gröger, K.1    Recke, L.2
  • 13
    • 0009888008 scopus 로고
    • Applications of the Implicit Function Theorem to quasi-linear elliptic boundary value problems with nonsmooth, data
    • L. Recke, Applications of the Implicit Function Theorem to quasi-linear elliptic boundary value problems with nonsmooth, data, Comm. Partial Differential Equations 20, 1457-1479 (1995).
    • (1995) Comm. Partial Differential Equations , vol.20 , pp. 1457-1479
    • Recke, L.1
  • 14
    • 0000453612 scopus 로고
    • On imbeddings into Orlicz spaces and some applications
    • N. S. Trudinger, On imbeddings into Orlicz spaces and some applications, J. Math. Mech. 17, 473-483 (1967).
    • (1967) J. Math. Mech , vol.17 , pp. 473-483
    • Trudinger, N.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.