Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-24
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise.
We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming this stochastic equation into a random one through a tempered stationary random homeomorphism.
Then, we establish the existence of a random attractor for the random equation.
And the existence of a random attractor for the stochastic equation follows from the conjugation relation between two random dynamical systems.
The pullback asymptotic compactness is proved by uniform estimates on solutions for large space and time variables.
These estimates are obtained by a cut-off technique.
American Psychological Association (APA)
Ding, Xiaoquan& Jiang, Jifa. 2013. Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-513315
Modern Language Association (MLA)
Ding, Xiaoquan& Jiang, Jifa. Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains. Abstract and Applied Analysis No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-513315
American Medical Association (AMA)
Ding, Xiaoquan& Jiang, Jifa. Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-513315
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513315