ON THE UNIQUENESS OF SOLUTIONS TO THE DRIFT-DIFFUSION MODEL OF SEMICONDUCTOR DEVICES

1 February 1994

journal article
research article
Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences

Vol. 04 (01) , 121-133
https://doi.org/10.1142/s021820259400008x

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.

Keywords

ENERGY FUNCTIONAL
SEMICONDUCTOR DEVICES
DRIFT DIFFUSION
DIFFUSION MODEL
REGULARITY
ARGUMENT
UNIQUENESS

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