On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term

Jin Zhang and Chengkui Zhong

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-10

Abstract:

We consider the existence and properties of the global attractor for a class of reaction-diffusion equation , in ; , in . Under some suitable assumptions, we first prove that the problem has a global attractor in . Then, by using the -index theory, we verify that is an infinite dimensional set and it contains infinite distinct pairs of equilibrium points.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:251614

DOI: 10.1155/2015/251614

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