TY - JOUR
T1 - On the Semiconductor System
AU - Liang Jin
JO - Journal of Partial Differential Equations
VL - 1
SP - 69
EP - 78
PY - 1992
DA - 1992/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5730.html
KW - Semiconductor
KW -  strongly coupled system
KW -  upper-lower solution method
KW -  carrier transport
KW -  steady state
KW -  existence
KW -  uniqueness
KW -  asymptotic behaviour
AB -  In this paper, the semiconductor system is discussed. The existence and uniqueness or the global solution or the carrier transport problem are obtained. Under the condition that the width in some direction of the domain being sufficiently small, the existence and uniqueness of the solution of the steady states are proved. It is also proved that the solution of the carrier transport problem tends to the solution or the steady states problem exponentially when t goes to infinity.