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Status已发表Published
TitleThe effect of noise intensity on parabolic equations
Creator
Date Issued2020-05-05
Source PublicationDiscrete and Continuous Dynamical Systems - Series B
ISSN1531-3492
Volume25Issue: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.

KeywordEnergy estimate method Itô's formula Stochastic parabolic equation
DOI10.3934/dcdsb.2019248
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000520895100006
Scopus ID2-s2.0-85081957034
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/10493
CollectionResearch outside affiliated institution
Corresponding AuthorWei, 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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