Dynamics of the nonlinear stochastic heat equation with singular perturbation
文献类型：期刊论文
| 作者 | Lv, Yan; Wang, Wei |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2007-09-15 |
| 卷号 | 333期号:2页码:695-711 |
| 关键词 | singular perturbation nonlinear stochastic heat equation random dynamical system random attractor |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2006.11.046 |
| 英文摘要 | The approximation in probability for a singular perturbed nonlinear stochastic heat equation is studied. First the approximation result in the sense of probability is obtained for solutions defined on any finite time interval. Furthermore it is proved that the long time behavior of the stochastic system is described by a global random attractor which is upper semi-continuous with respect to the singular perturbed parameter. This also means the long time effectivity of the approximation with probability one. (c) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247573200012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4829]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Lv, Yan |
| 作者单位 | 1.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lv, Yan,Wang, Wei. Dynamics of the nonlinear stochastic heat equation with singular perturbation[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,333(2):695-711. |
| APA | Lv, Yan,&Wang, Wei.(2007).Dynamics of the nonlinear stochastic heat equation with singular perturbation.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,333(2),695-711. |
| MLA | Lv, Yan,et al."Dynamics of the nonlinear stochastic heat equation with singular perturbation".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 333.2(2007):695-711. |
入库方式： OAI收割
来源：数学与系统科学研究院
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