Weak epigraphical solutions to Hamilton-Jacobi-Bellman equations on infinite horizon

DOI10.1016/j.jmaa.2022.126452zbMath1494.35072arXiv2208.08720OpenAlexW4283314132MaRDI QIDQ2157715

Vincenzo Basco

Publication date: 22 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.08720

zbMATH Keywords

weak solutionsHamilton-Jacobi-Bellman equationsrepresentation resultslocally bounded variations set-valued maps

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Cites Work

• Existence results for first order Hamilton Jacobi equations
• Perron's method for monotone systems of second-order elliptic partial differential equations
• Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
• Necessary conditions for free end-time, measurably time dependent optimal control problems with state constraints
• Hamilton-Jacobi-Bellman equations with time-measurable data and infinite horizon
• Existence of viscosity solutions of Hamilton-Jacobi equations
• Representation of weak solutions of convex Hamilton-Jacobi-Bellman equations on infinite horizon
• Exploiting characteristics in stationary action problems
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Implicit Functions and Solution Mappings
• Viscosity Solutions of Hamilton-Jacobi Equations
• On conditions on right hand sides of differential relations
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• A measurable upper semicontinuous viability theorem for tubes
• Set-valued analysis
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