On the support of solutions to stochastic differential equations with path-dependent coefficients
DOI10.1016/j.spa.2019.07.015zbMath1435.60045arXiv1806.08988OpenAlexW2965675876MaRDI QIDQ2309580
Publication date: 1 April 2020
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.08988
stochastic differential equationfunctional equationsupport theoremsemimartingaleWiener spacefunctional Itô calculus
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic functional-differential equations (34K50) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A functional extension of the Ito formula
- On the approximation of stochastic differential equation and on Stroock- Varadhan's support theorem
- Change of variable formulas for non-anticipative functionals on path space
- Hölder norms and the support theorem for diffusions
- Approximation and support theorem in Hölder norm for parabolic stochastic partial differential equations
- Functional Itō calculus and stochastic integral representation of martingales
- Quadratic variation and quadratic roughness
- Large deviations and support theorem for diffusion processes via rough paths.
- Support theorem for diffusion processes on Hilbert spaces
- Multidimensional Stochastic Processes as Rough Paths
- Stochastic Integrals and Conditional Full Support
- Functional Itô calculus
- Weak approximation of martingale representations
This page was built for publication: On the support of solutions to stochastic differential equations with path-dependent coefficients