(L2,H1)-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-21
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We study the random dynamical system generated by a stochastic reaction-diffusion equation with additive noise on the whole space ℝn and prove the existence of an (L2,H1)-random attractor for such a random dynamical system.
The nonlinearity f is supposed to satisfy the growth of arbitrary order p-1 (p≥2).
The (L2,H1)-asymptotic compactness of the random dynamical system is obtained by using an extended version of the tail estimate method introduced by Wang (1999) and the cut-off technique.
American Psychological Association (APA)
Wang, Gang& Tang, Yanbin. 2013. (L2,H1)-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-23.
https://search.emarefa.net/detail/BIM-459836
Modern Language Association (MLA)
Wang, Gang& Tang, Yanbin. (L2,H1)-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains. Abstract and Applied Analysis No. 2013 (2013), pp.1-23.
https://search.emarefa.net/detail/BIM-459836
American Medical Association (AMA)
Wang, Gang& Tang, Yanbin. (L2,H1)-Random Attractors for Stochastic Reaction-Diffusion Equation on Unbounded Domains. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-23.
https://search.emarefa.net/detail/BIM-459836
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459836