Mean viability theorems and second-order Hamilton-Jacobi equations
type: Item
instance of: scholarly article
title: Mean viability theorems and second-order Hamilton-Jacobi equations
zbMATH Open document ID: 1542.35122
author: Christian Keller
published in: SIAM Journal on Control and Optimization
publication date: 2024-06-14T00:00:00Z
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 60H30
zbMATH DE Number: 7865497
zbMATH Keywords: viability
zbMATH Keywords: stochastic control
zbMATH Keywords: path-dependent partial differential equations
zbMATH Keywords: contingent solutions
zbMATH Keywords: viscosity solutions
MaRDI profile type: Publication
cites work: Q5386174
cites work: History path dependent optimal control and portfolio valuation and management
cites work: Viability Theory
cites work: Q3971014
cites work: Solutions to Hamilton-Jacobi equation on a Wasserstein space
cites work: Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
cites work: Q4227203
cites work: A geometric characterization of viable sets for controlled degenerate diffusions
cites work: Path-Dependent Hamilton--Jacobi Equations with Super-Quadratic Growth in the Gradient and the Vanishing Viscosity Method
cites work: Stochastic optimal control. The discrete time case
cites work: The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence
cites work: Stochastic Target Problems with Controlled Loss
cites work: Viability of an open set for stochastic control systems
cites work: Existence of stochastic control under state constraints
cites work: Some Characterizations of Optimal Trajectories in Control Theory
cites work: The minimum time function for semilinear evolutions
cites work: Necessary and sufficient conditions for viability for semilinear differential inclusions
cites work: Q5718754
cites work: A pseudo-Markov property for controlled diffusion processes
cites work: Mean Value Inequalities in Hilbert Space
cites work: Path-dependent equations and viscosity solutions in infinite dimension
cites work: Optimal control of path-dependent McKean-Vlasov SDEs in infinite-dimension
cites work: Crandall-Lions viscosity solutions for path-dependent PDEs: the case of heat equation
cites work: Controlled measure-valued martingales: a viscosity solution approach
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Q3957682
cites work: McKean-Vlasov optimal control: the dynamic programming principle
cites work: On viscosity solutions of path dependent PDEs
cites work: Viscosity solutions of fully nonlinear parabolic path dependent PDEs. I.
cites work: Viscosity solutions of fully nonlinear parabolic path dependent PDEs. II
cites work: Pseudo-Markovian viscosity solutions of fully nonlinear degenerate PPDEs
cites work: Stochastic Optimal Control in Infinite Dimension
cites work: Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
cites work: Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
cites work: Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations
cites work: Viability of stochastic semi-linear control systems via the quasi-tangency condition
cites work: A Probabilistic Approach to the Generalized Hessian
cites work: Generalized Solutions of the Hamilton–Jacobi Equation of Stochastic Control
cites work: On the Existence of Optimal Controls
cites work: Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
cites work: Differential Games, Optimal Control and Directional Derivatives of Viscosity Solutions of Bellman’s and Isaacs’ Equations
cites work: Superreplication under volatility uncertainty for measurable claims
cites work: Constructing sublinear expectations on path space
cites work: Viscosity Solutions of Path-Dependent PDEs with Randomized Time
cites work: Comparison of Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Path-Dependent PDEs
cites work: Comparison of Viscosity Solutions of Semilinear Path-Dependent PDEs
cites work: Dynamic programming for stochastic target problems and geometric flows
cites work: Multidimensional diffusion processes.
cites work: The method of characteristics for Hamilton-Jacobi equations and applications to dynamical optimization
cites work: Q3743996
cites work: Optimal control
cites work: Backward Stochastic Differential Equations
cites work: Viscosity solutions to second order path-dependent Hamilton-Jacobi-Bellman equations and applications
DOI: 10.1137/23M1550438
description: scientific article; zbMATH DE number 7865497