Initial-boundary value problems describing mobile carrier transport in semiconductor devices

Konrad Gröger

Commentationes Mathematicae Universitatis Carolinae (1985)

  • Volume: 026, Issue: 1, page 75-89
  • ISSN: 0010-2628

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Gröger, Konrad. "Initial-boundary value problems describing mobile carrier transport in semiconductor devices." Commentationes Mathematicae Universitatis Carolinae 026.1 (1985): 75-89. <http://eudml.org/doc/17362>.

@article{Gröger1985,
author = {Gröger, Konrad},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {van Roosbroeck's equations; carrier transport; semiconductor; global existence; uniqueness; exponential stability},
language = {eng},
number = {1},
pages = {75-89},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Initial-boundary value problems describing mobile carrier transport in semiconductor devices},
url = {http://eudml.org/doc/17362},
volume = {026},
year = {1985},
}

TY - JOUR
AU - Gröger, Konrad
TI - Initial-boundary value problems describing mobile carrier transport in semiconductor devices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1985
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 026
IS - 1
SP - 75
EP - 89
LA - eng
KW - van Roosbroeck's equations; carrier transport; semiconductor; global existence; uniqueness; exponential stability
UR - http://eudml.org/doc/17362
ER -

References

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  1. N. D. ALIKAKOS, An application of the invariance principle to reaction-diffusion equations, J. Diff. Equations 33 (1979), 201-225. (1979) Zbl0386.34046MR0542670
  2. H. ELSCHNER A. MÖSCHWITZER A. REIBIGER, Reehnergestützte Analyse in der Elektronik, Verlag Technik Berlin 1977. (1977) 
  3. W. FICHTNER D. ROSE (Ed.), [unknown], IEEE Trans. Electron Devices ED-30 (1983). (1983) 
  4. H. GAJEWSKI, On existence, uniqueness and asymptotic behavior of solutions of the basic equations for carrier transport in semiconductors, Zeitschr. Angew. Math. Mech., to appear. Zbl0579.35016MR0841263
  5. H. GAJEWSKI, On the existence of steady state carrier distributions in semiconductors, In: Problems und Methoden der Mathematlschen Physik, Teubner-Texte zur Mathematik, to appear. Zbl0562.35022MR0781760
  6. H. GAJEWSKI, On uniqueness, stability and construction of steady state carrier distributions in semiconductors, to appear. 
  7. H. GAJEWSKI K. GRÖGER, On the basic equations for carrier transport in semiconductors, submitted to J. Math. Anal. Appl. MR0826656
  8. B. V. GOKHALE, Numerical solutions for a one-dimensional silicon p-n-p transistor, IEEE Trans. Electron Devices ED-17 (1970), 594-602. (1970) 
  9. 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
  10. K. GRÖGER, Asymptotic behavior of solutions to a class of diffusion-reaction equations, Math. Nachr. 112 (1983), 19-33. (1983) MR0726851
  11. P. HORN R. JACKSON, General mass action kinetics, Arch. Rat. Mech. Anal. 47 (1972), 81-116. (1972) MR0400923
  12. M. S. MOCK, On equations describing steady-state carrier distributions in a semiconductor device, Comm. Pure Appl. Math. 25 (1972), 781-792. (1972) MR0323233
  13. M. S. MOCK, An initial value problem from semiconductor device theory, SIAM J. Math. Anal. 5 (1974), 597-612. (1974) Zbl0254.35020MR0417573
  14. M. S. MOCK, Asymptotic behavior of solutions of transport equations for semiconductor devices, J. Math. Anal. Appl. 49 (1975), 215-225. (1975) Zbl0298.35033MR0355383
  15. M. S. MOCK, Analysis of mathematical models of semiconductor devices, Boole Press Dublin 1983. (1983) Zbl0532.65081MR0697094
  16. J. MOSER, A new proof of De Giorgi's theorem concerning the regularity problem for elliptic differential equations, Comm. Pure Appl. Math. 13 (1960), 457-468. (1960) Zbl0111.09301MR0170091
  17. W. van ROOSBROECK, Theory of flow of electrons and holes in germanium and other semiconductors, Bell Syst. Tech. J. 29 (1950), 560-607. (1950) 
  18. T. I. SEIDMAN, Steady state solutions of diffusion-reaction systems with electrostatic convection, Nonlinear Analysis 4 (1980), 623-637. (1980) Zbl0438.35030MR0574378

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