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

文献类型：期刊论文

作者Lunardi, Alessandra1; Rockner, Michael2,3
刊名JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
出版日期2021-01-19
页码49
ISSN号0024-6107
DOI10.1112/jlms.12436
英文摘要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.
资助项目DFG[CRC 1283] ; MIUR[PRIN 2015233N54]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000608710400001
出版者WILEY
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58046]  
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.

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来源：数学与系统科学研究院

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