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WIAS Preprint No. 938, (2004)

Existence and uniqueness results for reaction-diffusion processes of electrically charged species


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2010 Mathematics Subject Classification

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Abstract

We study initial-- boundary value problems for elliptic--parabolic systems of nonlinear partial differential equations describing drift--diffusion processes of electrically charged species in N--dimensional bounded Lipschitzian domains. We include Fermi--Dirac statistics and admit nonsmooth material coefficients. We prove existence and uniqueness of bounded global solutions.

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