Solutions to the Hamilton-Jacobi equation for state constrained Bolza problems with discontinuous time dependence
type: Item
instance of: scholarly article
title: Solutions to the Hamilton-Jacobi equation for state constrained Bolza problems with discontinuous time dependence
zbMATH Open document ID: 1504.49049
author: Julien Bernis
author: Piernicola Bettiol
author: Richard B. Vinter
published in: Journal of Differential Equations
publication date: 2022-12-21T00:00:00Z
Mathematics Subject Classification ID: 49L12
Mathematics Subject Classification ID: 35F21
Mathematics Subject Classification ID: 91B64
zbMATH DE Number: 7635325
zbMATH Keywords: Hamilton Jacobi equation
zbMATH Keywords: optimal control
zbMATH Keywords: differential inclusions
zbMATH Keywords: state constraints
zbMATH Keywords: lower Dini derivative type solutions
zbMATH Keywords: proximal solutions
zbMATH Keywords: macro-economics
MaRDI profile type: Publication
full work available at URL: j.jde.2022.09.023
OpenAlex ID: W4298153028
cites work: Q3549441
cites work: Set-valued analysis
cites work: Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
cites work: Macroeconomic theory. A dynamic general equilibrium approach.
cites work: Solutions to the Hamilton-Jacobi equation for Bolza problems with discontinuous time dependent data
cites work: On Trajectories Satisfying a State Constraint: $W^{1,1}$ Estimates and Counterexamples
cites work: The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence
cites work: \(L^{\infty }\) estimates on trajectories confined to a closed subset, for control systems with bounded time variation
cites work: On the qualitative theory of lower semicontinuous differential inclusions
cites work: Trajectories of differential inclusions with state constraints
cites work: Functional Analysis, Calculus of Variations and Optimal Control
cites work: Q4375488
cites work: Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints
cites work: Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
cites work: Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
cites work: Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps
cites work: Optimal control of a growth/consumption model
cites work: Optimal control
DOI: 10.1016/J.JDE.2022.09.023
Recommended article: Solutions to the Hamilton-Jacobi Equation for Bolza Problems with State Constraints and Discontinuous Time Dependent Data
Recommended article: Solutions to the Hamilton-Jacobi equation for Bolza problems with discontinuous time dependent data
Recommended article: Q6137258
Recommended article: Solutions of Hamilton-Jacobi equations and scalar conservation laws with discontinuous space-time dependence
Recommended article: Asymptotic solutions of Hamilton-Jacobi equations with state constraints
Recommended article: The construction of a continuous generalized solution for the Hamilton-Jacobi equations with state constraints
Recommended article: Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints
Recommended article: Q4846206
Recommended article: Discontinuous Solutions of the Hamilton--Jacobi Equation for Exit Time Problems
Recommended article: Boundary value problems for Hamilton-Jacobi equations with discontinuous Lagrangian
description: scientific article; zbMATH DE number 7635325