Expansion and attraction of RDS: long time behavior of the solution to singular SDE

  • We provide a framework for studying the expansion rate of the image of a bounded set under a flow in Euclidean space and apply it to stochastic differential equations (SDEs for short) with singular coefficients. If the singular drift of the SDE can be split into two terms, one of which is singular and the radial component of the other term has a radial component of sufficient strength in the direction of the origin, then the random dynamical system generated by the SDE admits a pullback attractor.

Download full text files

Export metadata

Statistics

Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Chengcheng LingORCiDGND, Michael Scheutzow
URN:urn:nbn:de:bvb:384-opus4-1086645
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/108664
ISSN:1083-6489OPAC
Parent Title (English):Electronic Journal of Probability
Publisher:EMIS
Type:Article
Language:English
Year of first Publication:2024
Publishing Institution:Universität Augsburg
Release Date:2023/10/24
Volume:29
First Page:1
Last Page:33
DOI:https://doi.org/10.1214/24-EJP1118
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)