Status | 已发表Published |
Title | The effect of noise intensity on parabolic equations |
Creator | |
Date Issued | 2020-05-05 |
Source Publication | Discrete and Continuous Dynamical Systems - Series B
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ISSN | 1531-3492 |
Volume | 25Issue:5Pages:1715-1728 |
Abstract | In this paper, the effect of noise intensity on parabolic equations is considered. We focus on the effect of noise on the energy solutions of stochastic parabolic equations. By utilising Ito's formula and the energy estimate method, we obtain excitation indices of the solution u at time t. Furthermore, we improve existing results by introducing a simple method to verify the existing results in the literature. |
Keyword | Energy estimate method Itô's formula Stochastic parabolic equation |
DOI | 10.3934/dcdsb.2019248 |
URL | View source |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000520895100006 |
Scopus ID | 2-s2.0-85081957034 |
Citation statistics |
Cited Times [WOS]:0
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Document Type | Journal article |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/10493 |
Collection | Research outside affiliated institution |
Corresponding Author | Wei, Jinlong |
Affiliation | 1.College of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing,210044,China 2.Institute of Mathematics,School of Mathematical Science,Nanjing Normal University,Nanjing,210023,China 3.School of Statistics and Mathematics Zhongnan University of Economics and Law,Wuhan,430073,China 4.Department of Mathematics,Swansea University,Swansea,SA2 8PP,United Kingdom |
Recommended Citation GB/T 7714 | Lv, Guangying,Gao, Hongjun,Wei, Jinlonget al. The effect of noise intensity on parabolic equations[J]. Discrete and Continuous Dynamical Systems - Series B, 2020, 25(5): 1715-1728. |
APA | Lv, Guangying, Gao, Hongjun, Wei, Jinlong, & Wu, Jianglun. (2020). The effect of noise intensity on parabolic equations. Discrete and Continuous Dynamical Systems - Series B, 25(5), 1715-1728. |
MLA | Lv, Guangying,et al."The effect of noise intensity on parabolic equations". Discrete and Continuous Dynamical Systems - Series B 25.5(2020): 1715-1728. |
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