The quasi-sure uniqueness of solutions for differential equations on Wiener space

DOI10.1006/jmaa.1999.6485zbMath0949.34044OpenAlexW1972937977MaRDI QIDQ1306876

Yong Sik Yun

Publication date: 5 December 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6485

zbMATH Keywords

differential equationsWiener spacesabstract Wiener spaceOrnstein-Uhlembeck operator

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear differential equations in abstract spaces (34G20) General theory of ordinary differential operators (47E05) Ordinary differential equations and systems with randomness (34F05) Continuous and differentiable maps in nonlinear functional analysis (46T20)

Cites Work

• Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
• Unicité de solutions d'équations différentielles sur l'espace de Wiener
• Sobolev spaces of Banach-valued functions associated with a Markov process
• The quasi-sure existence of solutions for differential equations on Wiener space
• A quasi-sure flow property and the equivalence of capacities for differential equations on the Wiener Space
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The quasi-sure uniqueness of solutions for differential equations on Wiener space