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On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0, in Rn×R+; u(x,0)=u0(x), in Rn.
Under some suitable assumptions, we first prove that the problem has a global attractor A in L2(Rn).
Then, by using the Z2-index theory, we verify that A is an infinite dimensional set and it contains infinite distinct pairs of equilibrium points.
American Psychological Association (APA)
Zhang, Jin& Zhong, Chengkui. 2015. On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060432
Modern Language Association (MLA)
Zhang, Jin& Zhong, Chengkui. On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060432
American Medical Association (AMA)
Zhang, Jin& Zhong, Chengkui. On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060432
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060432