On Basic Semiconductor Equations with Heat Conduction

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Abstract

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.

Keywords:

Super-subsolution;fixed point theorem;L^P estimate and Schauder estimate
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On Basic Semiconductor Equations with Heat Conduction. (1995). Journal of Partial Differential Equations, 8(1), 43-54. https://global-sci.com/index.php/jpde/article/view/14845