On steady-state carrier distributions in semiconductor devices

Konrad Gröger

Aplikace matematiky (1987)

  • Volume: 32, Issue: 1, page 49-56
  • ISSN: 0862-7940

Abstract

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The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.

How to cite

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Gröger, Konrad. "On steady-state carrier distributions in semiconductor devices." Aplikace matematiky 32.1 (1987): 49-56. <http://eudml.org/doc/15479>.

@article{Gröger1987,
abstract = {The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.},
author = {Gröger, Konrad},
journal = {Aplikace matematiky},
keywords = {van Roosbroeck's equation; steady-state carrier distribution; semiconductor devices; existence; van Roosbroeck's system; transport of mobile charge carriers; spatially homogeneous semiconductor devices; Fermi-Dirac statistics; Schauder's fixed point theorem; unique steady- state; van Roosbroeck's equation; steady-state carrier distribution; semiconductor devices; existence; van Roosbroeck's system; transport of mobile charge carriers; spatially homogeneous semiconductor devices; Fermi-Dirac statistics; Schauder's fixed point theorem; unique steady- state solution},
language = {eng},
number = {1},
pages = {49-56},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On steady-state carrier distributions in semiconductor devices},
url = {http://eudml.org/doc/15479},
volume = {32},
year = {1987},
}

TY - JOUR
AU - Gröger, Konrad
TI - On steady-state carrier distributions in semiconductor devices
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 1
SP - 49
EP - 56
AB - The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.
LA - eng
KW - van Roosbroeck's equation; steady-state carrier distribution; semiconductor devices; existence; van Roosbroeck's system; transport of mobile charge carriers; spatially homogeneous semiconductor devices; Fermi-Dirac statistics; Schauder's fixed point theorem; unique steady- state; van Roosbroeck's equation; steady-state carrier distribution; semiconductor devices; existence; van Roosbroeck's system; transport of mobile charge carriers; spatially homogeneous semiconductor devices; Fermi-Dirac statistics; Schauder's fixed point theorem; unique steady- state solution
UR - http://eudml.org/doc/15479
ER -

References

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  1. J. L. Blue C. L. Wilson, 10.1109/T-ED.1983.21260, IEEE Trans. Electron Devices ED-30 (1983), 1056-1070. (1983) Zbl0521.65087DOI10.1109/T-ED.1983.21260
  2. V. L. Bonč-Bruevich S. G. Kalašnikov, Halbleiterphysik, Berlin 1982. (1982) 
  3. V. L. Bonč-Bruevich I. P. Zvjagin A. G. Mironov, Spatial electrical instability in semiconductors, (Russian). Moscow 1972. (1972) 
  4. H. Gajewski, On the existence of steady-state carrier distributions in semiconductors, In: Probleme und Methoden der Mathematischen Physik. Teubner-Texte zur Mathematik 63 (1984), 76-82. (1984) Zbl0562.35022MR0781760
  5. H. Gajewski K. Gröger K. Zacharias, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Berlin 1974. (1974) Zbl0289.47029MR0636412
  6. D. Gilbarg N. S. Trudinger, Elliptic partial differential equations of second order, Berlin- Heidelberg-New York 1977. (1977) Zbl0361.35003MR0473443
  7. P. Grisvard, Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain, In: Numerical solution of partial differential equations III (1976), 207-274. (1976) Zbl0361.35022MR0466912
  8. M. S. Mock, 10.1002/cpa.3160250606, Comm. Pure Appl. Math. 25 (1972), 781-792. (1972) MR0323233DOI10.1002/cpa.3160250606
  9. M. S. Mock, Analysis of mathematical models of semiconductor devices, Dublin 1983. (1983) Zbl0532.65081MR0697094
  10. T. I. Seidman, 10.1016/0362-546X(80)90097-8, Nonlinear Analysis 4 (1980), 623-637. (1980) Zbl0438.35030MR0574378DOI10.1016/0362-546X(80)90097-8
  11. S. Selberherr, Analysis and simulation of semiconductor devices, Wien-New York 1984. (1984) 
  12. W. Van Roosbroeck, 10.1002/j.1538-7305.1950.tb03653.x, Bell Syst. Tech. J. 29 (1950), 560-607. (1950) DOI10.1002/j.1538-7305.1950.tb03653.x

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