کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840237 1470516 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
H1H1-random attractors for stochastic reaction–diffusion equations with additive noise
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
H1H1-random attractors for stochastic reaction–diffusion equations with additive noise
چکیده انگلیسی

In this paper, a new theorem obtained by Li and Guo [Y. Li, B. Guo, Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction–diffusion equations, J. Differential Equations 245(7) (2008) 1775–1800] is employed to some reaction–diffusion equations with additive noise. We prove the unique existence of DD-random attractors in H01 for the corresponding random dynamical system. We also obtain the existence of a unique random equilibrium for the generated random dynamical system under some restrictive assumption on the coefficients.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 84, June 2013, Pages 61–72
نویسندگان
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