کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839794 | 1470491 | 2014 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Upper semi-continuity and regularity of random attractors on pp-times integrable spaces and applications
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A sufficient condition for a family of random attractors to be upper semi-continuous and regular is obtained when the state space is a pp-times integrable space with p>2p>2. It is shown that both upper semi-continuity and regularity under the topology of pp-norms do not rely on continuity, convergence and absorption of the associated random dynamical systems in LpLp since the corresponding L2L2-properties can offer all. As an application of the abstract result, it is shown that the family of random attractors for the stochastic reaction–diffusion equations on a unbounded domain is upper semi-continuous and regular at any point under the topology of pp-norms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 109, November 2014, Pages 33–44
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 109, November 2014, Pages 33–44
نویسندگان
Yangrong Li, Hongyong Cui, Jia Li,