کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841198 908504 2012 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
(L2,Lp)(L2,Lp)-random attractors for stochastic reaction–diffusion equation on unbounded domains
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
(L2,Lp)(L2,Lp)-random attractors for stochastic reaction–diffusion equation on unbounded domains
چکیده انگلیسی

In this paper, the existence of (L2,Lp)(L2,Lp)-random attractor is established for a stochastic reaction–diffusion equation on the whole space RNRN. This random attractor is a compact and invariant tempered set which attracts every tempered random subset of L2L2 in the topology of LpLp. The nonlinearity ff is supposed to satisfy some growth of arbitrary order p−1p−1, where p≥2p≥2. The (L2,Lp)(L2,Lp)-asymptotic compactness of the random dynamical system is proved by an asymptotic a priori estimate of the unbounded part of solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 2, January 2012, Pages 485–502
نویسندگان
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