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发表状态已发表Published
题名The effect of noise intensity on parabolic equations
作者
发表日期2020-05-05
发表期刊Discrete and Continuous Dynamical Systems - Series B
ISSN/eISSN1531-3492
卷号25期号:5页码:1715-1728
摘要

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.

关键词Energy estimate method Itô's formula Stochastic parabolic equation
DOI10.3934/dcdsb.2019248
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000520895100006
Scopus入藏号2-s2.0-85081957034
引用统计
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/10493
专题个人在本单位外知识产出
通讯作者Wei, Jinlong
作者单位
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
推荐引用方式
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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