半线性Schr(o)dinger方程的生存时间

Based on the methods introduced by Klainerman and Ponce, and Cohn, a lower bounded estimate of the existence time for a kind of semilinear Schrdinger equation is obtained in this paper. The implementation of this method depends on the Lp-Lq estimate and the energy estimate.     

随机时滞2D-Navier-Stokes方程的指数稳定性

由于流体受到某些遗传和不确定信息外力的影响,考虑了含时变时滞随机外力的2D-Navier-Stokes方程.借助随机分析中的It6公式和Burkholder-Davis-Gundy不等式,证明了大粘性系数情形方程整体弱解的均方指数稳定和几乎必然指数稳定.