Abstract
We prove a uniqueness result for the drift-diffusion-model of semiconductor devices under weak regularity assumptions. Our proof rests on the convexity of the free energy functional and uses a new concavity argument.
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Gajewski, H. (1994). On uniqueness of solutions to the drift-diffusion-model of semiconductor devices. In: Bank, R.E., Gajewski, H., Bulirsch, R., Merten, K. (eds) Mathematical Modelling and Simulation of Electrical Circuits and Semiconductor Devices. ISNM International Series of Numerical Mathematics, vol 117. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8528-7_14
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DOI: https://doi.org/10.1007/978-3-0348-8528-7_14
Publisher Name: Birkhäuser, Basel
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