References
- Ben Abdallah , N. and Degond , P. 1995 . “ On a hierarchy of macroscopic models for semiconductors ” . In Preprint MIP , Toulouse, , France : Université Paul Sabatier .
- Ben Abdallah , N. , Degond , P. and GCnieys , S. 1995 . An energy-transport model for semiconductors derived from the Boltzmann equation . To appear in J. Stat. Phys. ,
- Alabau , F. 1995 . New uniqueness theorems for the one-dimensional drift-diffusion semiconductor device equations . SIAM J. Math. Anal. , 26 : 715 – 737 .
- Baiocchi , C. and Capelo , A. 1984 . Variational and Quasivariational Inequalities , Chichester : John Wiley and Sons .
- Bonč-Brueviě , V. and Kalashnikov , S. 1982 . Halbleiterphysik , Berlin : VEB Verlag der Wissenschaften .
- Brezzi , F. , Marini , L. and Pietra , P. 1987 . Méthodes d'éléments finis mixtes et schéma de Scharfetter-Gummel . C. R. Acad. Sci. Paris , 305 : 599 – 604 .
- Gajewski , H. and Groger , K. 1989 . Semiconductor equations for variable mobilities based on Boltzmann statistics or Fermi-Dirac statistics . Math. Nachr. , 140 : 7 – 36 .
- Giaquinta , M. 1983 . Multiple integrals in the calculus of variations and nonlinear elliptic systems , New Jersey : Princeton University Press .
- Grisvard , P. 1985 . Elliptic Problems in Nonsmooth Problems , Boston : Pitman .
- Jüngel , A. 1995 . Numerical approximation of a drift-diffusion model for semiconductors with nonlinear diffusion . ZAMM , 75 : 783 – 799 .
- Jüngel , A. 1996 . Asymptotic analysis of a semiconductor model based on Fermi-Dirac statistics . Math. Meth. Appl. Sci. , 19 : 401 – 424 .
- Kane , D. and Swanson , R. 1992 . Effect of electron-hole scattering on the current flow in semiconductors . J. Appl. Phys. , 72 : 5294 – 5294 .
- Markowich , P. A. 1986 . The Stationary Semiconductor Device Equations , Wien : Springer .
- Markowich , P. A. , Ringhofer , C. A. and Schmeiser , C. 1990 . Semiconductor Equations , Springer .
- Markowich , P. A. and Unterreiter , A. 1993 . Vacuum solutions of the stationary drift-diffusion model . Ann. Sc. Norm. Sup. di Pisa , 20 : 371 – 386 .
- Mnatsakanov , T. , Rostovtsev , I. and Philatov , N. 1987 . Investigation of the effect of nonlinear physical phenomena on charge carrier transport in semiconductor devices . Solid-state Electronics , 6 : 579 – 585 .
- Mock , M. S. 1982 . An example of nonuniqueness of stationary solutions in semiconductor device models . Compel , 1 : 165 – 174 .
- Naumann , J. 1993 . “ On the existence, uniqueness and interior regularity of weak solutions to the stationary drift-diffusion equations in semiconductor theory ” . In Preprint , Bonn : Fachbereich Mathematik der Universität . Wegelerstr. 6, D-53115 Bonn
- Naumann , J. and Wolff , M. 1991 . “ On a global Lq estimate on weak solutions of nonlinear elliptic systems ” . In Preprint, Dipartimento di Matematica , Italy : Univenitá di Catania .
- Paul , R. 1975 . Halbleiterphysrk , Heidelberg : Hiithig-Verlag .
- Reznik , D. and Gerlach , W. 1995 . “ Generalised drift-diffusion model of bipolar transport in semiconductors ” . In Preprint , TU Berlin : Fachbereich Elektrotechnik .
- Scharfetter , D. and Gummel , H. 1969 . Large signal analysis of a Silicon Read diode oscillator . IEEE Trans. El. Dev. , 16 : 64 – 77 .
- Shamir , E. 1968 . Regularization of mixed second-order elliptic problems . Israel J. Math. , 6 : 150 – 168 .
- Sze , S. 1981 . Physics of Semrconductor Devices , New York : John Wiley .
- Troianiello , G. M. 1987 . Elliptic Drfferential Equatrons and Obstacle Problems , New York : Plenum Press .
- Ward , M. , Reyna , L. and Odeh , F. 1991 . Multiple steady-state solutions in a multijunction semiconductor device . SIAM J. Appl. Math. , 51 : 90 – 123 .