On Basic Semiconductor Equations with Heat Conduction

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We prove the global existence of solution to basic semiconductor equations with heat conduction; If the domain is narrow in one direction, then the basic equations has a unique steady-state which is locally asymptotically stable.
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On Basic Semiconductor Equations with Heat Conduction. (1995). Journal of Partial Differential Equations, 8(1), 43-54. https://gsp.tricubic.dev/jpde/article/view/14845