SPACE HOMOGENEOUS SOLUTIONS TO THE CAUCHY-PROBLEM FOR SEMICONDUCTOR BOLTZMANN EQUATIONS

Authors
MAJORANA A MARANO SA
Citation
A. Majorana et Sa. Marano, SPACE HOMOGENEOUS SOLUTIONS TO THE CAUCHY-PROBLEM FOR SEMICONDUCTOR BOLTZMANN EQUATIONS, SIAM journal on mathematical analysis, 28(6), 1997, pp. 1294-1308
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
28
Issue
6
Year of publication
1997
Pages
1294 - 1308
Database
ISI
SICI code
0036-1410(1997)28:6<1294:SHSTTC>2.0.ZU;2-J
Abstract
The nonlinear Boltzmann equation for an electron gas in a semiconducto r is investigated. Same meaningful properties of the collision operato r are first presented. A large class of kernels is allowed. Then the g lobal existence and uniqueness of bounded, continuous, space-independe nt solutions to the related Cauchy problem is performed. Finally, the conservation of mass is examined.