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| A Sixth-Order Parabolic System in Semiconductors |
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Citation： |
Xiuqing CHEN,Li CHEN,Caiyun SUN.A Sixth-Order Parabolic System in Semiconductors[J].Chinese Annals of Mathematics B,2011,32(2):265~278 |
| Page view： 1733
Net amount： 1126 |
Authors： |
Xiuqing CHEN; Li CHEN; Caiyun SUN; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10871112, 10771008),
the Research Fund for the Doctoral Program of Higher Education of China (No. 20090005120009), the
Fundamental Research Funds for the Central Universities (No. BUPT2009RC0702) and the Talents
Scheme Funds of BUPT. |
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| Abstract： |
The authors investigate the global existence and semiclassical limit of weak
solutions to a sixth-order parabolic system, which is a quantum-corrected macroscopic
model derived recently to simulate the quantum effects in miniaturized semiconductor
devices. |
Keywords： |
Weak solution, Semiclassical limit, Sixth-order parabolic system |
Classification： |
35K30, 35K35, 35J60, 35Q40 |
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