数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 108-120.
• 论文 • 上一篇
马逸尘, 胡常兵
Ma Yichen, Hu changbing
摘要: In this paper we discuss the smoothness of inertial manifolds under time discretization. By the fibre contract principle, see Section 4, we obtain a sufficient condition for Ck(k ≥ 1) inertial manifolds. In view of the numerical computation for dissipative nonlinear evolution equations, it is more important to consider the discretized case than continuous case[3].