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Volume 5, Issue 1
On the Semiconductor System

Liang Jin

J. Part. Diff. Eq.,5(1992),pp.69-78

Published online: 1992-05

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  • Abstract
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.
  • Keywords

Semiconductor strongly coupled system upper-lower solution method carrier transport steady state existence uniqueness asymptotic behaviour

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@Article{JPDE-5-69, author = {Liang Jin}, title = {On the Semiconductor System}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {1}, pages = {69--78}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5730.html} }
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.
Liang Jin. (1992). On the Semiconductor System. Journal of Partial Differential Equations. 5 (1). 69-78. doi:
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