RANDOM PULLBACK EXPONENTIAL ATTRACTORS: GENERAL EXISTENCE RESULTS FOR RANDOM DYNAMICAL SYSTEMS IN BANACH SPACES

TomasS Caraballo; Stefanie Sonner

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RANDOM PULLBACK EXPONENTIAL ATTRACTORS: GENERAL EXISTENCE RESULTS FOR RANDOM DYNAMICAL SYSTEMS IN BANACH SPACES

机译：随机回拉指数吸引子：Banach空间中随机动力系统的一般存在结果

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摘要

We derive general existence theorems for random pullback exponential attractors and deduce explicit bounds for their fractal dimension. The results are formulated for asymptotically compact random dynamical systems in Banach spaces.

机译：我们推导了随机拉回指数吸引子的一般存在性定理，并为其分形维数推导了显式界。结果针对Banach空间中的渐近紧随机动力系统制定。

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来源
《Discrete and continuous dynamical systems》 |2017年第12期|6383-6403|共21页
作者
TomasS Caraballo; Stefanie Sonner;
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作者单位

Departamento Ecuaciones Diferenciales y Analisis Numerico Universidad de Sevilla, C/ Tarfia s 41012 Sevilla, Spain;

Institut fur Mathematik und Wissenschaftliches Rechnen Karl-Franzens-Universitaet Graz, Heinrichstr. 36 8010 Graz, Austria;

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正文语种 eng
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关键词
Random dynamical system; exponential attractor; random pullback attractor; fractal dimension; ε-entropy;

机译：随机动力系统指数吸引子随机拉回吸引子分形维数ε-熵;

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专利

1. Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems [J] . Wang B. Journal of Differential Equations . 2012,第5期

机译：非紧随机动力系统存在回拉吸引子的充分必要条件
2. Weak Pullback Attractors for Mean Random Dynamical Systems in Bochner Spaces [J] . Wang Bixiang Journal of dynamics and differential equations . 2019,第4期

机译：Bochner空间中均值随机动力系统的弱回拉吸引子
3. PULLBACK EXPONENTIAL ATTRACTORS FOR EVOLUTION PROCESSES IN BANACH SPACES: PROPERTIES AND APPLICATIONS [J] . Carvalho Alexandre N., Sonner Stefanie Communications on pure and applied analysis . 2014,第3期

机译：Banach空间中演化过程的回拉指数吸引子：性质与应用
4. Completeness of Random Exponential Systems in the Weighted Banach Space [C] . Feng Yan, Xiaoling Liu 2010 First ACIS International Symposium on Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce Its Applications and Embedded Systems . 2010

机译：加权Banach空间中随机指数系统的完备性。
5. STRONG CONVERGENCE THEOREMS FOR EXCHANGEABLE ARRAYS OF RANDOM VARIABLES AND RANDOM ELEMENTS IN BANACH SPACES. [D] . PATTERSON, RONALD FRANK. 1984

机译：Banach空间中随机变量和随机元素的可交换阵列的强收敛定理。
6. The Existence of Weak -Pullback Exponential Attractor for Nonautonomous Dynamical System [O] . Yongjun Li, Xiaona Wei, Yanhong Zhang 2016

机译：非自治动力系统的弱拉回指数吸引子的存在性。
7. Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces [O] . Caraballo Garrido, Tomás, Sonner, Stefanie 2017

机译：随机拉回指数吸引子：Banach空间中随机动力系统的一般存在结果

RANDOM PULLBACK EXPONENTIAL ATTRACTORS: GENERAL EXISTENCE RESULTS FOR RANDOM DYNAMICAL SYSTEMS IN BANACH SPACES

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