Existence of Random Attractors for a p-Laplacian-Type Equation with Additive Noise
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-30
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We first establish the existence and uniqueness of a solution for a stochastic p-Laplacian-type equation with additive white noise and show that the unique solution generates a stochastic dynamical system.
By using the Dirichlet forms of Laplacian and an approximation procedure, the nonlinear obstacle, arising from the additive noise is overcome when we make energy estimate.
Then, we obtain a random attractor for this stochastic dynamical system.
Finally, under a restrictive assumption on the monotonicity coefficient, we find that the random attractor consists of a single point, and therefore the system possesses a unique stationary solution.
American Psychological Association (APA)
Zhao, Wenqiang& Li, Yangrong. 2011. Existence of Random Attractors for a p-Laplacian-Type Equation with Additive Noise. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-485411
Modern Language Association (MLA)
Zhao, Wenqiang& Li, Yangrong. Existence of Random Attractors for a p-Laplacian-Type Equation with Additive Noise. Abstract and Applied Analysis No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-485411
American Medical Association (AMA)
Zhao, Wenqiang& Li, Yangrong. Existence of Random Attractors for a p-Laplacian-Type Equation with Additive Noise. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-485411
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485411