Uniform Attractors for Nonclassical Diffusion Equations with Memory
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce a new method (or technique), asymptotic contractive method, to verify uniform asymptotic compactness of a family of processes.
After that, the existence and the structure of a compact uniform attractor for the nonautonomous nonclassical diffusion equation with fading memory are proved under the following conditions: the nonlinearity f satisfies the polynomial growth of arbitrary order and the time-dependent forcing term g is only translation-bounded in Lloc2(R;L2(Ω)).
American Psychological Association (APA)
Xie, Yongqin& Li, Yanan& Zeng, Ye. 2016. Uniform Attractors for Nonclassical Diffusion Equations with Memory. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108618
Modern Language Association (MLA)
Xie, Yongqin…[et al.]. Uniform Attractors for Nonclassical Diffusion Equations with Memory. Journal of Function Spaces No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1108618
American Medical Association (AMA)
Xie, Yongqin& Li, Yanan& Zeng, Ye. Uniform Attractors for Nonclassical Diffusion Equations with Memory. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108618
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108618