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Stationary solutions to the drift-diffusion model in the whole spaces. (English) Zbl 1173.78301

Summary: We study the stationary problem in the whole space \(\mathbb R^n\) for the drift-diffusion model arising in semiconductor device simulation and plasma physics. We prove the existence and uniqueness of stationary solutions in the weighted \(L^p\) spaces. The proof is based on a fixed point theorem of the Leray-Schauder type.

MSC:

78A25 Electromagnetic theory (general)
82D10 Statistical mechanics of plasmas
47N50 Applications of operator theory in the physical sciences
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