| Title:
|
On steady-state carrier distributions in semiconductor devices (English) |
| Author:
|
Gröger, Konrad |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
49-56 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
van Roosbroeck's equation |
| Keyword:
|
steady-state carrier distribution |
| Keyword:
|
semiconductor devices |
| Keyword:
|
existence |
| Keyword:
|
van Roosbroeck's system |
| Keyword:
|
transport of mobile charge carriers |
| Keyword:
|
spatially homogeneous semiconductor devices |
| Keyword:
|
Fermi-Dirac statistics |
| Keyword:
|
Schauder's fixed point theorem |
| Keyword:
|
unique steady- state |
| MSC:
|
35J65 |
| MSC:
|
35Q20 |
| MSC:
|
35Q99 |
| MSC:
|
78A35 |
| MSC:
|
78A55 |
| MSC:
|
82C70 |
| idZBL:
|
Zbl 0621.35047 |
| idMR:
|
MR0879329 |
| DOI:
|
10.21136/AM.1987.104235 |
| . |
| Date available:
|
2008-05-20T18:31:36Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104235 |
| . |
| Reference:
|
[1] J. L. Blue C. L. Wilson: Two-dimensional analysis of semiconductor devices using general-purpose interactive PDE software.IEEE Trans. Electron Devices ED-30 (1983), 1056-1070. 10.1109/T-ED.1983.21260 |
| Reference:
|
[2] V. L. Bonč-Bruevich S. G. Kalašnikov: Halbleiterphysik.Berlin 1982. |
| Reference:
|
[3] V. L. Bonč-Bruevich I. P. Zvjagin A. G. Mironov: Spatial electrical instability in semiconductors.(Russian). Moscow 1972. |
| Reference:
|
[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. Zbl 0562.35022, MR 0781760 |
| Reference:
|
[5] H. Gajewski K. Gröger K. Zacharias: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen.Berlin 1974. MR 0636412 |
| Reference:
|
[6] D. Gilbarg N. S. Trudinger: Elliptic partial differential equations of second order.Berlin- Heidelberg-New York 1977. MR 0473443 |
| Reference:
|
[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. Zbl 0361.35022, MR 0466912 |
| Reference:
|
[8] M. S. Mock: On equations describing steady-state carrier distributions in semiconductor devices.Comm. Pure Appl. Math. 25 (1972), 781-792. MR 0323233, 10.1002/cpa.3160250606 |
| Reference:
|
[9] M. S. Mock: Analysis of mathematical models of semiconductor devices.Dublin 1983. Zbl 0532.65081, MR 0697094 |
| Reference:
|
[10] T. I. Seidman: Steady state solutions of diffusion-reaction systems with electrostatic convection.Nonlinear Analysis 4 (1980), 623-637. Zbl 0438.35030, MR 0574378, 10.1016/0362-546X(80)90097-8 |
| Reference:
|
[11] S. Selberherr: Analysis and simulation of semiconductor devices.Wien-New York 1984. |
| Reference:
|
[12] W. Van Roosbroeck: Theory of the flow of electrons and holes in Germanium and other semiconductors.Bell Syst. Tech. J. 29 (1950), 560-607. 10.1002/j.1538-7305.1950.tb03653.x |
| . |
