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Exponential Attractors in Banach Spaces
Authors:L Dung  B Nicolaenko
Institution:(1) Department of Mathematics, Arizona State University, Tempe, Arizona, 85287-1804
Abstract:In this paper we extend the theory of exponential attractors from the Hilbert space setting in 4] to the Banach space setting. No squeezing conditions are needed; the only requirements are for the semiflow to be C 1 in some absorbing ball, and for the linearized semiflow at every point inside the absorbing ball to split into the sum of a compact operator plus a contraction.
Keywords:dynamical systems  exponential attractors
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