Global Solutions to the Time-Dependent Drift-Diffusion Semiconductor Equations
In this paper, we study the global behavior of the time-dependent drift-diffusion model for semiconductor devices. Under certain assumptions on the mobilites, we first prove the existence of the global weak solutions with uniform L°° bounds. Then we show that the system, when considered ass a dynamical system, posses an absorbing set with respect to the Lt topology.
& Ito, K.
(1995). Global Solutions to the Time-Dependent Drift-Diffusion Semiconductor Equations. Journal of Differential Equations, 123 (2), 523-566.