Gradient estimates for nonlinear diffusion semigroups by coupling methods

doi:10.1007/s11425-018-9541-6

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	Gradient estimates for nonlinear diffusion semigroups by coupling methods
	Song, Yongsheng 1,2
刊名	SCIENCE CHINA-MATHEMATICS
	2020-04-04
页码	16
关键词	gradient estimates coupling methods G-expectation nonlinear PDEs
ISSN号	1674-7283
DOI	10.1007/s11425-018-9541-6
英文摘要	Our purpose is to obtain gradient estimates for certain nonlinear partial differential equations by coupling methods. First, we derive uniform gradient estimates for a certain semi-linear PDEs based on the coupling method introduced in Wang (2011) and the theory of backward SDEs. Then we generalize Wang's coupling to the G-expectation space and obtain gradient estimates for nonlinear diffusion semigroups, which correspond to the solutions of a certain fully nonlinear PDEs.
资助项目	NCMIS, National Natural Science Foundation of China[11871458] ; NCMIS, National Natural Science Foundation of China[11688101] ; Key Research Program of Frontier Sciences, Chinese Academy of Sciences[QYZDB-SSW-SYS017]
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000523412300002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51061]
专题	应用数学研究所
通讯作者	Song, Yongsheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Song, Yongsheng. Gradient estimates for nonlinear diffusion semigroups by coupling methods[J]. SCIENCE CHINA-MATHEMATICS,2020:16.
APA	Song, Yongsheng.(2020).Gradient estimates for nonlinear diffusion semigroups by coupling methods.SCIENCE CHINA-MATHEMATICS,16.
MLA	Song, Yongsheng."Gradient estimates for nonlinear diffusion semigroups by coupling methods".SCIENCE CHINA-MATHEMATICS (2020):16.