Regularity of Global Attractor for the Reaction-Diffusion Equation
By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space Hk for all k>0, which attracts any bounded subset of Hk(Ω) in the Hk-...
Saved in:
Main Author: | Hong Luo |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2012/917190 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Global Attractors in H1(ℝN)
for Nonclassical Diffusion Equations
by: Qiao-zhen Ma, et al.
Published: (2012-01-01) -
On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term
by: Jin Zhang, et al.
Published: (2015-01-01) -
Attractor for a Reaction-Diffusion System Modeling Cancer Network
by: Xueyong Chen, et al.
Published: (2014-01-01) -
Uniform Attractors for Nonclassical Diffusion Equations with Memory
by: Yongqin Xie, et al.
Published: (2016-01-01) -
Global Attractor for a Chemotaxis Model with Reaction Term
by: Xueyong Chen, et al.
Published: (2013-01-01)