摘要
本文讨论了离散化方程的惯性流形，证明了在ｈ充分小且算子 Ａ满足谱间隔条件下，该方程存在一个惯性流形 是惯性映射的不动点．与现有文献 ［１，２］不同，我们仅假设主算子Ａ是解析半群无穷小生成元且有紧豫解式，不需要Ａ是自伴的假设．
In this paper the existence of the inertial is the fixed point of the inertial map, is proved Under the assumption that h is small enough and the spectral gap conditions are satisfied for the time-discrete equation F(un). It is different from the other works [1,2] that the capter operator A in this paper is only an infinitesimal generator of an analytic semigroup and has compact resolvent without the assumption of self-adjoint.
出处
《数学进展》
CSCD
北大核心
2000年第1期36-50,共15页
Advances in Mathematics（China）
基金
国家自然科学基金
