The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation

doi:10.1142/S0219530521500172

Details of Research Outputs

Status	已发表Published
Title	The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation
Creator	Yin, Xiuwei 1; Shen, Guangjun 1; Wu, Jianglun2
Date Issued	2022-07
Source Publication	Analysis and Applications
ISSN	0219-5305
Volume	20 Issue:4 Pages:777-789
Abstract	In this paper, we study the stability of quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The exponential mean square stability and pathwise exponential stability of the solutions are established. Moreover, under certain hypothesis on the stochastic perturbations, pathwise exponential stability can be derived, without utilizing the mean square stability.
Keyword	exponential stability Quasilinear stochastic partial differential equations stabilization
DOI	10.1142/S0219530521500172
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000810930600004
Scopus ID	2-s2.0-85113900622
Citation statistics	Cited Times:2[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/10476
Collection	Research outside affiliated institution
Corresponding Author	Wu, Jianglun
Affiliation	1.School of Mathematics and Statistics,Anhui Normal University,Wuhu,241002,China 2.Department of Mathematics,Computational Foundry,Swansea University,Swansea,SA1 8EN,United Kingdom
Recommended Citation GB/T 7714	Yin, Xiuwei,Shen, Guangjun,Wu, Jianglun. The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation[J]. Analysis and Applications, 2022, 20(4): 777-789.
APA	Yin, Xiuwei, Shen, Guangjun, & Wu, Jianglun. (2022). The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation. Analysis and Applications, 20(4), 777-789.
MLA	Yin, Xiuwei,et al."The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation". Analysis and Applications 20.4(2022): 777-789.

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