Geodesic
On steady-state carrier distributions in semiconductor devices
Applications of Mathematics, Tome 32 (1987) no. 1, pp. 49-56
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/AM.1987.104235
Classification : 35J65, 35Q20, 35Q99, 78A35, 78A55, 82C70
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 
@article{10_21136_AM_1987_104235,
     author = {Gr\"oger, Konrad},
     title = {On steady-state carrier distributions in semiconductor devices},
     journal = {Applications of Mathematics},
     pages = {49--56},
     year = {1987},
     volume = {32},
     number = {1},
     doi = {10.21136/AM.1987.104235},
     mrnumber = {0879329},
     zbl = {0621.35047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104235/}
}
TY  - JOUR
AU  - Gröger, Konrad
TI  - On steady-state carrier distributions in semiconductor devices
JO  - Applications of Mathematics
PY  - 1987
SP  - 49
EP  - 56
VL  - 32
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104235/
DO  - 10.21136/AM.1987.104235
LA  - en
ID  - 10_21136_AM_1987_104235
ER  - 
%0 Journal Article
%A Gröger, Konrad
%T On steady-state carrier distributions in semiconductor devices
%J Applications of Mathematics
%D 1987
%P 49-56
%V 32
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1987.104235/
%R 10.21136/AM.1987.104235
%G en
%F 10_21136_AM_1987_104235
Gröger, Konrad. On steady-state carrier distributions in semiconductor devices. Applications of Mathematics, Tome 32 (1987) no. 1, pp. 49-56. doi: 10.21136/AM.1987.104235

[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. | DOI

[2] V. L. Bonč-Bruevich S. G. Kalašnikov: Halbleiterphysik. Berlin 1982.

[3] V. L. Bonč-Bruevich I. P. Zvjagin A. G. Mironov: Spatial electrical instability in semiconductors. (Russian). Moscow 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. | MR | Zbl

[5] H. Gajewski K. Gröger K. Zacharias: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen. Berlin 1974. | MR

[6] D. Gilbarg N. S. Trudinger: Elliptic partial differential equations of second order. Berlin- Heidelberg-New York 1977. | MR

[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. | MR | Zbl

[8] M. S. Mock: On equations describing steady-state carrier distributions in semiconductor devices. Comm. Pure Appl. Math. 25 (1972), 781-792. | DOI | MR

[9] M. S. Mock: Analysis of mathematical models of semiconductor devices. Dublin 1983. | MR | Zbl

[10] T. I. Seidman: Steady state solutions of diffusion-reaction systems with electrostatic convection. Nonlinear Analysis 4 (1980), 623-637. | DOI | MR | Zbl

[11] S. Selberherr: Analysis and simulation of semiconductor devices. Wien-New York 1984.

[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. | DOI

Cité par Sources :