Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 15, pp. 1-38.

Title: Solutions to a nonlinear drift-diffusion model for semiconductors

Authors: Weifu Fang (West Virginia Univ., Morgantown, WV, USA) 
         Kazufumi Ito (North Carolina State Univ., Raleigh, NC, USA)
         
Abstract: 
A nonlinear drift-diffusion model for semiconductors is analyzed to show the
existence of non-vacuum global solutions and stationary solutions.  The long
time behavior of the solutions is studied by establishing the existence of an
absorbing set and a compact attractor of the dynamical system.  Parallel results
on vacuum solutions are also obtained under weaker conditions on model
parameters.  

Submitted May 28, 1998. Published May 10, 1999.
Math Subject Classification: 35K57, 35K55, 35J60, 78A35.
Key Words: Drift-diffusion model; semiconductors; nonlinear diffusion; 
           degenerated parabolic and elliptic equations; attractors. 

An addendum was attached to this article on June 21; 1999.