Space homogeneous solutions of the linear semiconductor Boltzmann equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:259

Article

Majorana, A ; Milazzo, C

关键词: Boltzmann equation;    Cauchy problem;    semiconductors;   

DOI  :  10.1006/jmaa.2001.7444

来源: Elsevier

【 摘 要 】

The linear Boltzmann equation describing electron now in a semiconductor is considered. The Cauchy problem for space-independent solutions is investigated, and without requiring a bounded collision frequency the existence of integrable solutions is established. Mass conservation, an H-theorem, and moment estimates also are obtained, assuming weak conditions. Finally, the uniqueness of the solution is demonstrated under a suitable hypothesis on the collision frequency. (C) 2001 Academic Press.

【 授权许可】

Free