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Classical solutions of drift-diffusion equations for semiconductor devices: the 2d case
[article]
2007
arXiv
pre-print
We regard drift-diffusion equations for semiconductor devices in Lebesgue spaces. To that end we reformulate the (generalized) van Roosbroeck system as an evolution equation for the potentials to the driving forces of the currents of electrons and holes. This evolution equation falls into a class of quasi-linear parabolic systems which allow unique, local in time solution in certain Lebesgue spaces. In particular, it turns out that the divergence of the electron and hole current is an
arXiv:math/0701132v1
fatcat:aes6lwousjfbnhk4i4xvcuxwoi