Exponential Attractors in Banach Spaces
- Cite this article as:
- Dung, L. & Nicolaenko, B. Journal of Dynamics and Differential Equations (2001) 13: 791. doi:10.1023/A:1016676027666
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In this paper we extend the theory of exponential attractors from the Hilbert space setting in  to the Banach space setting. No squeezing conditions are needed; the only requirements are for the semiflow to be C1 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.