Publication Cover
Applicable Analysis
An International Journal
Volume 37, 1990 - Issue 1-4
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Original Articles

Inertial manifolds for dissipative semiflows in banach spaces

Pages 95-141 | Received 11 Oct 1989, Published online: 02 May 2007
 

Abstract

A generalization to Banach spaces of a method of construction of Inertial Manifolds is provided. The generalized Spectral Gap Conditions are given and a careful atention is taken of the constants and parameters involved.Conditions known for a class of flows are recovered albeit less restrictive in our approach. The nesting of Inertial Manifolds and other related dynamical properties are also discussed

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