Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices

E. Z. Borevich; V. M. Chistyakov

Applications of Mathematics (2001)

  • Volume: 46, Issue: 5, page 383-400
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Borevich, E. Z., and Chistyakov, V. M.. "Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices." Applications of Mathematics 46.5 (2001): 383-400. <http://eudml.org/doc/33093>.

@article{Borevich2001,
abstract = {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.},
author = {Borevich, E. Z., Chistyakov, V. M.},
journal = {Applications of Mathematics},
keywords = {nonlinear boundary value problem; asymptotic behaviour of solutions; semiconductors; carrier transport; constant densities of ionized impurities; interior transition layer phenomena; semiconductors; carrier transport; constant densities of ionized impurities; nonlinear boundary value problem; global bifurcation; stability; interior transition layer phenomena},
language = {eng},
number = {5},
pages = {383-400},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices},
url = {http://eudml.org/doc/33093},
volume = {46},
year = {2001},
}

TY - JOUR
AU - Borevich, E. Z.
AU - Chistyakov, V. M.
TI - Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices
JO - Applications of Mathematics
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 46
IS - 5
SP - 383
EP - 400
AB - 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.
LA - eng
KW - nonlinear boundary value problem; asymptotic behaviour of solutions; semiconductors; carrier transport; constant densities of ionized impurities; interior transition layer phenomena; semiconductors; carrier transport; constant densities of ionized impurities; nonlinear boundary value problem; global bifurcation; stability; interior transition layer phenomena
UR - http://eudml.org/doc/33093
ER -

References

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  2. 10.1016/0022-247X(76)90218-3, J. Math. Anal. Appl. 54 (1976), 497–521. (1976) Zbl0345.34044MR0419961DOI10.1016/0022-247X(76)90218-3
  3. 10.1016/0022-0396(74)90088-6, J. Differential Equations 15 (1974), 77–105. (1974) Zbl0259.34067MR0330665DOI10.1016/0022-0396(74)90088-6
  4. Bifurcation from simple eigenvalues, J. Funct. Anal. 8 (1971), 321–340. (1971) MR0288640
  5. Domain Electric Instability in Semiconductors, Nauka, Moskva, 1972. (Russian) (1972) 
  6. Some global results for nonlinear eigenvalue problems, J. Funct. Anal. 7 (1971), 487–513. (1971) Zbl0212.16504MR0301587
  7. 10.1016/0022-247X(76)90214-6, J. Math. Anal. Appl. 54 (1976), 449–466. (1976) MR0450722DOI10.1016/0022-247X(76)90214-6
  8. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics, Springer-Verlag, Berlin-Heidelberg-New York, 1981. (1981) MR0610244
  9. Nonlinear Singular Perturbation Phenomena: Theory and Applications, Springer-Verlag, New York, 1984. (1984) MR0764395

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