A convergence theorem for Crandall-Lions viscosity solutions to path-dependent Hamilton-Jacobi-Bellman PDEs
DOI10.1007/s00030-024-00986-9zbMATH Open1546.35025MaRDI QIDQ6588177
Publication date: 15 August 2024
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
stabilityviscosity solutionlimit theoremKnightian uncertainty\(G\)-expectationconvergence theoremnonlinear expectationpath-dependent PDEsublinear expectationHamilton-Jacobi-Bellman PDE
PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) PDEs in connection with control and optimization (35Q93) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Viscosity solutions of fully nonlinear parabolic path dependent PDEs. I.
- Viscosity solutions of fully nonlinear parabolic path dependent PDEs. II
- Large deviations for non-Markovian diffusions and a path-dependent Eikonal equation
- Random \(G\)-expectations
- Calcul stochastique et problèmes de martingales
- Path-dependent equations and viscosity solutions in infinite dimension
- Crandall-Lions viscosity solutions for path-dependent PDEs: the case of heat equation
- On viscosity solutions of path dependent PDEs
- Constructing sublinear expectations on path space
- Controlled Markov processes and viscosity solutions
- Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
- Representation of set-valued mappings
- Nonexponential Sanov and Schilder theorems on Wiener space: BSDEs, Schrödinger problems and control
- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton–Jacobi Equations and Applications
- Viscosity Solutions of Hamilton-Jacobi Equations
- Compactification methods in the control of degenerate diffusions: existence of an optimal control
- Viscosity Solutions of Path-Dependent PDEs with Randomized Time
- Path-Dependent Hamilton--Jacobi Equations with Super-Quadratic Growth in the Gradient and the Vanishing Viscosity Method
- Foundations of Modern Probability
- Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations
- Nonlinear continuous semimartingales
- Viscosity solutions to second order path-dependent Hamilton-Jacobi-Bellman equations and applications
- The martingale problem method revisited
This page was built for publication: A convergence theorem for Crandall-Lions viscosity solutions to path-dependent Hamilton-Jacobi-Bellman PDEs
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6588177)