Space homogeneous solutions to the Cauchy problem for semiconductor Boltzmann equations

被引：9

作者：

Majorana, A

Marano, SA

机构：

[1] Department of Mathematics, University of Catania, 95125 Catania

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1997年 / 28卷 / 06期

关键词：

Boltzmann equation; semiconductor; Dirac distribution; bounded continuous solution; existence and uniqueness;

D O I：

10.1137/S0036141095291397

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear Boltzmann equation for an electron gas in a semiconductor is investigated. Same meaningful properties of the collision operator are first presented. A large class of kernels is allowed. Then the global existence and uniqueness of bounded, continuous, space-independent solutions to the related Cauchy problem is performed. Finally, the conservation of mass is examined.

引用

页码：1294 / 1308

页数：15

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