| Title:
|
Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices (English) |
| Author:
|
Borevich, E. Z. |
| Author:
|
Chistyakov, V. M. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
46 |
| Issue:
|
5 |
| Year:
|
2001 |
| Pages:
|
383-400 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The present paper describes mobile carrier transport in semiconductor devices with constant densities of ionized impurities. For this purpose we use one-dimensional partial differential equations. The work gives the proofs of global existence of solutions of systems of such kind, their bifurcations and their stability under the corresponding assumptions. (English) |
| Keyword:
|
nonlinear boundary value problem |
| Keyword:
|
asymptotic behaviour of solutions |
| Keyword:
|
semiconductors |
| Keyword:
|
carrier transport |
| Keyword:
|
constant densities of ionized impurities |
| Keyword:
|
interior transition layer phenomena |
| MSC:
|
35B35 |
| MSC:
|
35B40 |
| MSC:
|
35D05 |
| MSC:
|
35F20 |
| MSC:
|
35Q20 |
| MSC:
|
82D37 |
| idZBL:
|
Zbl 1059.35026 |
| idMR:
|
MR1925194 |
| DOI:
|
10.1023/A:1013708427592 |
| . |
| Date available:
|
2009-09-22T18:07:39Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134474 |
| . |
| Reference:
|
[1] L. Recke: An example for bifurcation of solutions of the basic equations for carrier distributions in semiconductors.Z. Angew. Math. Mech. 67 (1987), 269–271. Zbl 0625.34014, MR 0916259, 10.1002/zamm.19870670614 |
| Reference:
|
[2] P. C. Fife: Boundary and interior transition layer phenomena for pairs of second-order differential equations.J. Math. Anal. Appl. 54 (1976), 497–521. Zbl 0345.34044, MR 0419961, 10.1016/0022-247X(76)90218-3 |
| Reference:
|
[3] P. C. Fife: Transition Layers in Singular Perturbation Problems.J. Differential Equations 15 (1974), 77–105. Zbl 0259.34067, MR 0330665, 10.1016/0022-0396(74)90088-6 |
| Reference:
|
[4] M. G. Crandall, P. H. Rabinowitz: Bifurcation from simple eigenvalues.J. Funct. Anal. 8 (1971), 321–340. MR 0288640 |
| Reference:
|
[5] V. L. Bonch-Bruevich: Domain Electric Instability in Semiconductors.Nauka, Moskva, 1972. (Russian) |
| Reference:
|
[6] P. H. Rabinowitz: Some global results for nonlinear eigenvalue problems.J. Funct. Anal. 7 (1971), 487–513. Zbl 0212.16504, MR 0301587 |
| Reference:
|
[7] R. E. O’Malley jun.: Phase-plane solutions to some perturbation problems.J. Math. Anal. Appl. 54 (1976), 449–466. MR 0450722, 10.1016/0022-247X(76)90214-6 |
| Reference:
|
[8] D. Henry: Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics.Springer-Verlag, Berlin-Heidelberg-New York, 1981. MR 0610244 |
| Reference:
|
[9] K. W. Chang, F. A. Howes: Nonlinear Singular Perturbation Phenomena: Theory and Applications.Springer-Verlag, New York, 1984. MR 0764395 |
| . |
