HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS

doi:10.3934/dcds.2022119

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	HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS
	Nguyen, Quoc-Hung 1; Sire, Yannick 2; Truong, Le Xuan 3
	2022-08-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
页码	29
摘要	We provide several regularity results for non-homogeneous drift diffusion equations with applications to general dissipative SQG. Our results unify in a rather simple way several previously known results. We build the estimates on an algebraic identity (for the refined energy argument) which relates any integral operator with pure powers of the laplacian.
关键词	Drift-diffusion equations dissipative SQG regularity De Giorgi method
DOI	10.3934/dcds.2022119
收录类别	SCI
语种	英语
资助项目	Simons foundation ; Academy of Mathematics and Systems Science, Chinese Academy of Sciences startup fund ; National Natural Science Foundation of China[12288201] ; National Natural Science Foundation of China[2021YFA1000800] ; National Key R&D Program of China ; University of Economics Ho Chi Minh City, Vietnam ; [12050410257]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000849720500001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61047
专题	中国科学院数学与系统科学研究院
通讯作者	Nguyen, Quoc-Hung; Sire, Yannick
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Johns Hopkins Univ, Dept Math, 3400 N Charles St, Baltimore, MD 21218 USA 3.Univ Econ Ho Chi Minh City UEH, Ho Chi Minh City, Vietnam
推荐引用方式 GB/T 7714	Nguyen, Quoc-Hung,Sire, Yannick,Truong, Le Xuan. HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2022:29.
APA	Nguyen, Quoc-Hung,Sire, Yannick,&Truong, Le Xuan.(2022).HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,29.
MLA	Nguyen, Quoc-Hung,et al."HOLDER CONTINUITY OF SOLUTIONS FOR A CLASS OF DRIFT-DIFFUSION EQUATIONS".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2022):29.