WIAS Preprint No. 2, (1992)

On uniqueness of solutions to the drift-diffusion-model of semiconductor devices.


Authors

  • Gajewski, Herbert

2010 Mathematics Subject Classification

  • 35K55 35K57 35Q99

Keywords

  • drift-diffusion-model, device equations, uniqueness of transient solutions, energy functional, Lyapunov function

DOI

10.20347/WIAS.PREPRINT.2

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.

Appeared in

  • Math. Models Methods Appl. Sci., 4 (1994), pp.121-139.

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