Ergodic BSDEs driven by G-Brownian motion and applications
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Publication:4561046
DOI10.1142/S0219493718500508zbMath1417.60050OpenAlexW2963088985MaRDI QIDQ4561046
Publication date: 10 December 2018
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493718500508
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30)
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Multi-dimensional BSDEs driven by G-Brownian motion and related system of fully nonlinear PDEs, BSDEs driven by \(G\)-Brownian motion with time-varying Lipschitz condition, Ergodic BSDEs with Multiplicative and Degenerate Noise, BSDEs driven by \(G\)-Brownian motion with non-Lipschitz coefficients, Probabilistic approach to singular perturbations of viscosity solutions to nonlinear parabolic PDEs, Backward stochastic differential equations driven by \(G\)-Brownian motion with uniformly continuous generators, Further results on stabilization of stochastic differential equations with delayed feedback control under \( G \)-expectation framework, Infinite horizon BSDEs under consistent nonlinear expectations, Improved Results on Stabilization of $G$-SDEs by Feedback Control Based on Discrete-Time Observations, Separability Versus Robustness of Orlicz Spaces: Financial and Economic Perspectives
Cites Work
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- Long time asymptotics for fully nonlinear Bellman equations: a backward SDE approach
- Wellposedness of second order backward SDEs
- A probabilistic approach to large time behaviour of viscosity solutions of parabolic equations with Neumann boundary conditions
- Some properties on \(G\)-evaluation and its applications to \(G\)-martingale decomposition
- Ergodic BSDEs under weak dissipative assumptions
- Stopping times and related Itô's calculus with \(G\)-Brownian motion
- Adapted solution of a backward stochastic differential equation
- Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
- Ergodic BSDEs and related PDEs with Neumann boundary conditions
- Infinite horizon BSDEs in infinite dimensions with continuous driver and applications
- On representation theorem of \(G\)-expectations and paths of \(G\)-Brownian motion
- Stability of BSDEs with random terminal time and homogenization of semilinear elliptic PDEs
- Conjugate convex functions in optimal stochastic control
- Quadratic backward stochastic differential equations driven by \(G\)-Brownian motion: discrete solutions and approximation
- Filtration-consistent nonlinear expectations and related \(g\)-expectations
- Feynman-Kac representation for Hamilton-Jacobi-Bellman IPDE
- Backward stochastic differential equations and applications to optimal control
- Backward stochastic differential equations driven by \(G\)-Brownian motion
- Comparison theorem, Feynman-Kac formula and Girsanov transformation for BSDEs driven by \(G\)-Brownian motion
- Invariant and ergodic nonlinear expectations for \(G\)-diffusion processes
- Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
- A Probabilistic Approach to Large Time Behavior of Mild Solutions of HJB Equations in Infinite Dimension
- Ergodic BSDEs Driven by Markov Chains
- Ergodic BSDEs and Optimal Ergodic Control in Banach Spaces
- Stochastic Differential Games and Viscosity Solutions of Hamilton–Jacobi–Bellman–Isaacs Equations
- Probabilistic interpretation for systems of quasilinear parabolic partial differential equations
- User’s guide to viscosity solutions of second order partial differential equations
- On ergodic stochastic control
- Backward Stochastic Differential Equations in Finance
- Nash equilibria for nonzero-sum ergodic stochastic differential games
- BSDE<scp>s</scp> with a random terminal time driven by a monotone generator and their links with PDE<scp>s</scp>
- Nonlinear Expectations and Stochastic Calculus under Uncertainty
