Abstract
In this article some analytical results concerning the existence, uniqueness and regularity of solutions to the drift-diffusion equations coupled with Maxwell’s equations are summarized. The considered system consists of nonlinearly coupled hyperbolic and parabolic equations.
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References
H. Beirao da Veiga, On the semiconductor drift diffusion equations, Diff. Int. Eq., 9 (1996), 729–744
W. Fang, K. Ito, On the time dependent drift diffusion model for semiconductors, J. Diff. Eq., 117 (1995), 245–280
H. Gajewski, On existence, uniqueness and asymptotic behavior of solutions of the basic equations for carrier transport in semiconductors, ZAMM, 65, 1985, 101–108
H. Gajewski, K. Gröger, On the basic equations for carrier transport in semiconductors, Journal of Math. Anal. and Appl. 113 (1986), 12–35.
F. Jochmann, Existence of weak solutions to the drift diffusion model for semiconductors coupled with Maxwell’s equations, J. Math. Anal. Appl., 204, (1996), 655–676
F. Jochmann, Uniqueness and regularity for the two-dimensional drift diffusion model for semiconductors coupled with Maxwell’s equations, to appear in Journal of Diff. Equations.
F. Jochmann, On the Drift-diffusion system for semiconductors with prescribed currents, submitted for publication.
P.A. Markowich, C.A. Ringhofer and C. Schmeiser semiconductor equations,Springer 1990
M.S. Mock, An initial value problem from semiconductor device theory, SIAM J. Math. Anal., 5 (1974), 597–612
M.S. Mock, Asymptotic behavior of solutions of transport equations for semiconductor devices, J. of Math. Anal. Appl., 49 (1975), 215–225
T. I. Seidman and G.M. Troianiello, Time dependent solutions of a nonlinear system arising in semiconductor theory,Nonlinear Anal., 9 (1985), 1137–1157
V. Roosbroeck Theory of flow of electrons and holes in Germanium and other semiconductors, Bell System Tech. J., 29 (1950) 560–607
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Jochmann, F. (1999). Some Analytical Results Concerning the Drift Diffusion Equations for Semiconductor Devices Coupled with Maxwell’s Equations. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_3
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DOI: https://doi.org/10.1007/978-3-0348-8724-3_3
Publisher Name: Birkhäuser, Basel
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