Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (2): 203-213.
Previous Articles Next Articles
GONG Ting, LI Yayu, CHEN Guiling
Received:
Online:
Published:
Abstract: We considered the existence of uniform random attractors for a class of delay parabolic equations with additive noise and non-autonomous external force terms on the smooth bounded domains. Firstly, through the uniform estimation of the solution, we obtained that the solution of the equation had a closed uniform pullback absorbing set with respect to the symbol space. Secondly, by Sobolev imbedding theorem and Arzela-Ascoli theorem, the uniform pullback compactness of the solution was obtained. Finally, the existence and uniqueness of uniform random attractor was proved.
Key words: uniform random attractor, delay, white noise, existence
CLC Number:
GONG Ting, LI Yayu, CHEN Guiling. Existence of Uniform Random Attractors for a Class of Delay Parabolic Equations[J].Journal of Jilin University Science Edition, 2023, 61(2): 203-213.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2023/V61/I2/203
Cited