一类半导体方程瞬时解的渐近性

On Asymptotic Behavior of Time-dependent Solutions to a Kind of Semiconductor Equations

本文考虑在磁场影响下半导体方程的瞬时解和稳态解之间的关系:在一定条件下,半导体方程的瞬时解按某Banach空间的模收敛于其相应的稳态解,从而得出了瞬时解的一个渐近性结果。

This paper considers the relationship between the time-dependent solutions and the steady-state solutions of a kind of semiconductor equations under the influence of magnetic field, and obtains the result that the time -dependent solutions of a semiconductor equation converge to corresponding steady-state solutions in the sense of some norm in Banach space under certain conditions. An asymptotic behavior of the time-dependent solutions is thus obtained.