Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774592 | Journal of Mathematical Analysis and Applications | 2017 | 29 Pages |
Abstract
This article is concerned with the random dynamics of solutions of the non-autonomous parabolic p-Laplacian equations on RN driven by an unbounded additive noise, where the nonlinearity has a (p,q)-growth exponents including the general polynomial-type functions. Firstly by using an inductive method, we establish the higher-order integrability of difference of solutions near the initial time for arbitrary space dimension. Secondly based on this very estimate, the asymptotical compactness of solutions in Lp(RN)â©Lq(RN) for any p,qâ¥2 is proved by a new technique instead of the usual truncation estimate method, and then we obtain the existence of pullback attractor in Lp(RN)â©Lq(RN) for p-Laplacian equations with an unbounded additive noise. Thirdly we prove that the obtained L2-pullback attractor is attracting and translation bounded in Lδ(RN) topology for any δâ[2,â) and arbitrary space dimension N,Nâ¥1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wenqiang Zhao,