Open AccessExistence of Weak Solutions to a Class of Degenerate Semiconductor Equations Modeling Avalanche Generation
Author(s) -
Bin Wu
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/873683
Subject(s) - degenerate energy levels , diffusion , dirichlet distribution , algorithm , physics , mathematics , boundary value problem , mathematical analysis , quantum mechanics
We consider the drift-diffusion model with avalanche generation for evolutionin time of electron and hole densities n, p coupled with the electrostatic potential ψ in a semiconductor device. We also assume that the diffusion term is degenerate. The existence of local weak solutions to this Dirichlet-Neumann mixed boundary value problem is obtained
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