Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427386 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 24 Pages |
Abstract
We present a study of the Wigner-Poisson problem in a bounded spatial domain with non-homogeneous and time-dependent “inflow” boundary conditions. This system of nonlinearly coupled equations is a mathematical model for quantum transport of charges in a semiconductor with external contacts. We prove well-posedness of the linearized n-dimensional problem as well as existence and uniqueness of a global-in-time, regular solution of the one-dimensional nonlinear problem.
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Authors
Chiara Manzini, Luigi Barletti,