Reflected stochastic differential equations driven by G-Brownian motion in non-convex domains
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Publication:5384790
DOI10.1142/S0219493719500254zbMath1415.60065arXiv1703.03238MaRDI QIDQ5384790
Abdoulaye Soumana Hima, Yi-Qing Lin
Publication date: 25 June 2019
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.03238
stochastic differential equationsSkorokhod problemHölder continuity\(G\)-Brownian motionnon-convex reflecting boundaries
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Brownian motion (60J65)
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- Lyapunov-type conditions and stochastic differential equations driven by \(G\)-Brownian motion
- Quasi-continuous random variables and processes under the \(G\)-expectation framework
- Stochastic differential equations driven by \(G\)-Brownian motion with reflecting boundary conditions
- Stochastic differential equations driven by \(G\)-Brownian motion and ordinary differential equations
- Pathwise construction of stochastic integrals
- Wellposedness of second order backward SDEs
- On the existence and uniqueness of solutions to stochastic differential equations driven by \(G\)-Brownian motion with integral-Lipschitz coefficients
- Stopping times and related Itô's calculus with \(G\)-Brownian motion
- Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
- Pathwise properties and homeomorphic flows for stochastic differential equations driven by \(G\)-Brownian motion
- Stochastic differential equations for multi-dimensional domain with reflecting boundary
- On the symmetry of a reflecting Brownian motion defined by Skorohod's equation for a multi-dimensional domain
- Stochastic differential equations with reflecting boundary condition in convex regions
- Reflexion discontinue et systèmes stochastiques
- Feynman-Kac representation for Hamilton-Jacobi-Bellman IPDE
- Feynman-Kac representation of fully nonlinear PDEs and applications
- Backward stochastic differential equations driven by \(G\)-Brownian motion
- Comparison theorem, Feynman-Kac formula and Girsanov transformation for BSDEs driven by \(G\)-Brownian motion
- Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
- On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions
- Stochastic differential equations with reflecting boundary conditions
- Nonlinear Expectations and Stochastic Calculus under Uncertainty
- Stochastic Equations for Diffusion Processes in a Bounded Region. II
- Diffusion processes with boundary conditions