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Zbl 1173.35382
Liu, Yong-Feng; Ma, Qiaozhen
Exponential attractors for a nonclassical diffusion equation. (English)
[J] Electron. J. Differ. Equ. 2009, Paper No. 09, 7 p., electronic only (2009). ISSN 1072-6691/e

Summary: In this article, we prove the existence of exponential attractors for a nonclassical diffusion equation in ${H^{2}(\Omega)}\cap{H}^{1}_{0}(\Omega)$ when the space dimension is less than 4.

MSC 2000:: *35B41 Attractors
35Q35 Other equations arising in fluid mechanics
35K55 Nonlinear parabolic equations
35K35 Higher order parabolic equations, boundary value problems

Keywords: nonclassical diffusion equation; exponential attractors

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