Stability estimates for singular SDEs and applications

  • We prove several stability estimates, comparing solutions driven by different (bi,σi), both for Itô and Stratonovich SDEs, possibly depending on negative Sobolev norms of the difference b1−b2. We then discuss several applications of these results to McKean–Vlasov SDEs, criteria for strong compactness of solutions and Wong–Zakai type theorems.

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Metadaten
Author:Lucio Galeati, Chengcheng LingGND
URN:urn:nbn:de:bvb:384-opus4-1086636
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/108663
ISSN:1083-6489OPAC
Parent Title (English):Electronic Journal of Probability
Publisher:Institute of Mathematical Statistics
Place of publication:Seattle, WA
Type:Article
Language:English
Year of first Publication:2023
Publishing Institution:Universität Augsburg
Release Date:2023/10/24
Tag:Statistics, Probability and Uncertainty; Statistics and Probability
Volume:28
First Page:1
Last Page:31
DOI:https://doi.org/10.1214/23-ejp913
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Nichtlineare Analysis
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)