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W2040604803 abstract "In this paper we consider the pair diffusion process in more than two spatial dimensions. In this case we are able to prove just a local existence result, since it is not possible to deduce global a priori estimates for the equations as it can be done in the two-dimensional case. The model includes a nonlinear system of reaction-drift-diffusion equations, a nonlinear ordinary differential equation in Banach spaces and an elliptic equation for the electrostatic potential. The local existence result is based on the fixed point theorem of Schauder." @default.
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W2040604803 date "2002-01-01" @default.
W2040604803 modified "2023-10-18" @default.
W2040604803 title "Local Existence Result of the Dopant Diffusion in Arbitrary Space Dimensions" @default.
W2040604803 doi "https://doi.org/10.4171/zaa/1066" @default.
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