On the convergence of Gummel mapping for steady state semiconductor equations

Research Report MRR95-001

On the convergence of Gummel mapping for steady state semiconductor equations

Ping Guan

Abstract: In this paper one dimensional steady state basic semiconductor equations, a system of nonlinear elliptic partial differential equations, with non-zero recombination-generation rate are considered. We prove that the Gummel mapping is contractive with respect to the norm of the solution in H¹ provided that the length L of the device is small enough. Therefore, the uniqueness of the stationary solution is obtained.

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