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Exponential attractors for a nonclassical diffusion equation. (English) Zbl 1173.35382

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:

35B41 Attractors
35Q35 PDEs in connection with fluid mechanics
35K55 Nonlinear parabolic equations
35K35 Initial-boundary value problems for higher-order parabolic equations
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