Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 H01 for a class of nonclassical diffusion equations with initial datum in H01.
American Psychological Association (APA)
Wang, Gang& Hu, Chaozhu. 2020. Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1152775
Modern Language Association (MLA)
Wang, Gang& Hu, Chaozhu. Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1152775
American Medical Association (AMA)
Wang, Gang& Hu, Chaozhu. Continuous Dependence on a Parameter of Exponential Attractors for Nonclassical Diffusion Equations. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1152775
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152775