| 具强阻尼的随机sine-Gordon方程的随机吸引子存在性 |
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| 引用本文： | 尹福其,周盛凡,李红艳. 具强阻尼的随机sine-Gordon方程的随机吸引子存在性[J]. 上海大学学报(自然科学版), 2006, 13(3): 260-265 |
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| 作者姓名： | 尹福其 周盛凡 李红艳 |
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| 作者单位： | 上海大学 理学院，上海 200444 |
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| 摘 要： | 该文考虑了一个具强阻尼的随机 sine-Gordon方程. 通过引入加权范数与对关于时间为一阶的发展方程对应的线性算子正性的分解, 证明了由该方程生成的随机动力系统的随机紧吸引子的存在性.
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| 关 键 词： | Wiener 过程 强阻尼 随机微分方程 随机吸引子 |
| 文章编号： | 1007-2861（2006）03-0260-06 |
| 收稿时间： | 2005-07-15 |
| 修稿时间： | 2005-07-15 |
Existence of Random Attractor for Strongly Damped Stochastic sine-Gordon Equation |
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| YIN Fu-qi,ZHOU Sheng-fan,LI Hong-yan. Existence of Random Attractor for Strongly Damped Stochastic sine-Gordon Equation[J]. Journal of Shanghai University(Natural Science), 2006, 13(3): 260-265 |
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| Authors: | YIN Fu-qi ZHOU Sheng-fan LI Hong-yan |
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| Affiliation: | School of Sciences, Shanghai University, Shanghai 200444, China |
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| Abstract: | A strongly damped stochastic sine-Gordon equation is considered.By introducing weight norm and splitting positivity of the linear operator in the corresponding evolution equation of the first order with respect to time,existence of a compact random attractor is shown for a stochastic dynamical system generated by strongly damped sine-Gordon equations with white noise. |
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| Keywords: | strongly damped stochastic differential equation random attractor Wiener process |
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