Space Homogeneous Solutions of the Linear Semiconductor Boltzmann Equation

Journal of Mathematical Analysis and Applications

Volumn 259, Issue 2, 2001, Pages 609-629

  Majorana, A ^a   Milazzo, C ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Boltzmann equation; Cauchy problem; semiconductors

Indexed keywords

EID: 0043288568     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7444     Document Type: Article

References (15)

1. Chapman S., Cowling T. G. The Mathematical Theory of Non-uniform Gases. 1970;Cambridge Univ. Press, Cambridge.
2. Cercignani C. The Boltzmann Equation and Its Applications. 1988;Springer-Verlag, New York.
3. Cercignani C., Illner R., Pulvirenti M. The Mathematical Theory of Dilute Gases. 1994;Springer-Verlag, Berlin.
4. Jacoboni C., Lugli P. The Monte Carlo Method for Semiconductor Device Simulation. 1989;Springer-Verlag, New York.
5. Majorana A., Marano A. Space homogeneous solutions to the Cauchy problem for semiconductor Boltzmann equations. SIAM J. Math. Anal. 28:1997;1294-1308.
6. Majorana A. Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors. Transport Theory Statist. Phys. 20:1991;261-279.
7. Majorana A. Trend to equilibrium of electron gas in a semiconductor according to the Boltzmann equation. Transport Theory Statist. Phys. 27:1998;547-571.
8. Markowich P. A., Ringhofer C., Schmeiser C. Semiconductor Equations. 1990;Springer-Verlag, New York.
9. Markowich P. A., Schmeiser C. The drift-diffusion limit for electron-phonon interaction in semiconductors. Math. Models Methods Appl. Sci. 7:1997;707-729.
10. Mustieles F. J. Global existence of solutions for the nonlinear Boltzmann equation of semiconductor physics. Rev. Mat. Iberoamer. 6:1990;43-59.
11. Mustieles F. J. Global existence of weak solutions for a system of nonlinear Boltzmann equations of semiconductor physics. Math. Methods Appl. Sci. 14:1991;139-153.
12. Poupaud F. On a system of nonlinear Boltzmann equations of semiconductor physics. SIAM J. Appl. Math. 50:1990;1593-1606.
13. Banasiak J. Mathematical property of inelastic scattering models in Kinetic theory. Math. Methods Appl. Sci. 10:2000;163-186.
14. J. Banasiak, On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application, lecture given at "ICMAA 2000, National Sun Yet-sen University, Taiwan, 2000."
15. Wennberg B. An example of nonuniqueness for solutions to the homogeneous Boltzmann equation. J. Statist. Phys. 1-2:1999;469-477.