Mosa, Fadlallah Mustafa and Dafallah, Abdelmajid Ali and Ahmed, Eshag Mohamed and Bakhet, Mohamed Y. A and Ma, Qiaozhen (2020) Random attractors for semilinear reaction-diffusion equation with distribution derivatives and multiplicative noise on R n. Open Journal of Mathematical Sciences, 4 (1). pp. 126-141. ISSN 26164906
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Abstract
In this paper, we investigate the existence of random attractors for a semilinear reaction-diffusion equation with a nonlinearity having a polynomial growth of arbitrary order p − 1 ( p ≥ 2 ) , and with distribution derivatives and multiplicative noise defined on unbounded domains. The random attractors are obtained in L 2 ( R n ) and L p ( R n ) respectively. The semilinear reaction-diffusion equation is recast as a continuous random dynamical system and asymptotic compactness for this demonstrated by using uniform a priori estimates for far-field values of solutions as well as the cut-off technique.
Item Type: | Article |
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Subjects: | Open Research Librarians > Mathematical Science |
Depositing User: | Unnamed user with email support@open.researchlibrarians.com |
Date Deposited: | 05 Jun 2023 06:11 |
Last Modified: | 30 Jan 2024 06:54 |
URI: | http://stm.e4journal.com/id/eprint/1100 |