A Sobolev rough path extension theorem via regularity structures

doi:10.1051/ps/2022016

	A Sobolev rough path extension theorem via regularity structures
	Liu, Chong1 ; Promel, David J.2; Teichmann, Josef 3
	2023
发表期刊	ESAIM - PROBABILITY AND STATISTICS
ISSN	1292-8100
EISSN	1262-3318
卷号	27 页码:136-155
发表状态	已发表
DOI	10.1051/ps/2022016
摘要	We show that every Rd-valued Sobolev path with regularity _ and integrability p can be lifted to a Sobolev rough path provided 1=2 > _ > 1=p _ 1=3. The novelty of our approach is its use of ideas underlying Hairer's reconstruction theorem generalized to a framework allowing for Sobolev models and Sobolev modelled distributions. Moreover, we show that the corresponding lifting map is locally Lipschitz continuous with respect to the inhomogeneous Sobolev metric. © 2023 EDP Sciences. All rights reserved.
关键词	Extension theorem Fractional sobolev space Integrability Locally lipschitz Lyons-victoir extension theorem Reconstruction theorems Regularity structure Rough path Sobolev Sobolev models
URL	查看原文
收录类别	EI ; SCI ; SCOPUS
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000917021600001
出版者	EDP Sciences
EI入藏号	20230513474299
EI主题词	Sobolev spaces
EI分类号	921 Mathematics
原始文献类型	Journal article (JA)
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/281982
专题	数学科学研究所_PI研究组(P)_刘翀组
通讯作者	Promel, David J.
作者单位	1.Shanghai Tech Univ, Shanghai, Peoples R China 2.Univ Mannheim, Mannheim, Germany 3.Swiss Fed Inst Technol, Zurich, Switzerland
第一作者单位	上海科技大学
第一作者的第一单位	上海科技大学
推荐引用方式 GB/T 7714	Liu, Chong,Promel, David J.,Teichmann, Josef. A Sobolev rough path extension theorem via regularity structures[J]. ESAIM - PROBABILITY AND STATISTICS,2023,27:136-155.
APA	Liu, Chong,Promel, David J.,&Teichmann, Josef.(2023).A Sobolev rough path extension theorem via regularity structures.ESAIM - PROBABILITY AND STATISTICS,27,136-155.
MLA	Liu, Chong,et al."A Sobolev rough path extension theorem via regularity structures".ESAIM - PROBABILITY AND STATISTICS 27(2023):136-155.