Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations

Gang Wang and Chaozhu Hu

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-12

Abstract:

In this paper, a new abstract result is given to verify the continuity of exponential attractors with respect to a parameter for the underlying semigroup. We do not impose any compact embedding on the main assumptions in the abstract result which is different from the corresponding result established by Efendiev et al. in 2004. Consequently, it can be used for equations whose solutions have no higher regularity. As an application, we prove the continuity of exponential attractors in for a class of nonclassical diffusion equations with initial datum in .

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1025457

DOI: 10.1155/2020/1025457

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