A simple construction of inertial manifolds under time discretization

Discrete and Continuous Dynamical Systems

Volumn 3, Issue 4, 1997, Pages 531-540

  Hu, Changbing ^a,b   Li, Kaitai ^b  

^a INDIANA UNIVERSITY   (United States)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Inertial Manifold; Nonlinear evolution equation; Time discretization

Indexed keywords

EID: 3042996845     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1997.3.531     Document Type: Article

References (7)

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4. E. Fabes, M. Luskin and G. R. Sell, Construction of inertial manifolds by elliptic regulation, J. Diff. Equ. 89 (1991), 355-387.
5. K. Promislow, Time analytic and Gevrey regularity for solutions of a class of dissipative partial differential equations. Nonlinear Analysis, TMA, 16 (1991), 959-980.
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7. Ma Yichen and Hu Changbing, Smoothness of inertial manifolds under time discretization, to appear.