Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces

doi:10.1112/jlms.12436

CSpace

	Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces
	Lunardi, Alessandra 1; Rockner, Michael 2,3
	2021-01-19
发表期刊	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN	0024-6107
页码	49
摘要	We prove maximal regularity results in Holder and Zygmund spaces for linear stationary and evolution equations driven by a class of differential and pseudo-differential operators L, both in finite and in infinite dimension. The assumptions are given in terms of the semigroup generated by L. We cover the cases of fractional Laplacians and Ornstein-Uhlenbeck operators with fractional diffusion in finite dimension, and several types of local and nonlocal Ornstein-Uhlenbeck operators, as well as the Gross Laplacian and its fractional powers, in infinite dimension.
DOI	10.1112/jlms.12436
收录类别	SCI
语种	英语
资助项目	DFG[CRC 1283] ; MIUR[PRIN 2015233N54]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000608710400001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58047
专题	中国科学院数学与系统科学研究院
通讯作者	Lunardi, Alessandra
作者单位	1.Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci 53-A, I-43124 Parma, Italy 2.Bielefeld Univ, Fak Math, D-33501 Bielefeld, Germany 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lunardi, Alessandra,Rockner, Michael. Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,2021:49.
APA	Lunardi, Alessandra,&Rockner, Michael.(2021).Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,49.
MLA	Lunardi, Alessandra,et al."Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces".JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2021):49.