摘要
本文讨论带弱阻尼的非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程周期初值问题当采用谱方法求解时近似解的大时间误差估计、近似吸引子ＡＮ的存在和它们的弱上半连续性ｄｗ（ＡＮ，Ａ）→０．
By using the Fourier spectral method a periodic initial value problem of nonlinear Schrdinger equations with weak damping is studied. For the approximate solution, the large time error estimate is obtained. The author proves the existence of approximate attractor A N and the weak upper semicontinuity d w (A N,A)→0.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1998年第3期267-274,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金
上海市高校科技发展基金
