Uniqueness of \(\beta\)-viscosity solutions of Hamilton-Jacobi equations and applications to a class of optimal control problems

DOI10.1007/s12591-019-00479-7zbMath1498.49046OpenAlexW2949087227MaRDI QIDQ2084681

Phan Trong Tien, Tran Van Bang

Publication date: 18 October 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-019-00479-7

zbMATH Keywords

optimal controlHamilton-Jacobi equations\(\beta\)-viscosity solutions

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) PDEs in connection with control and optimization (35Q93)

Cites Work

• Unnamed Item
• Unnamed Item
• The uniqueness of viscosity solutions of second order nonlinear partial differential equations in a Hilbert space of two-dimensional functions
• On the value function for nonautonomous optimal control problems with infinite horizon
• Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions
• Viscosity solutions and applications. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (CIME), Montecatini Terme, Italy, June 12-20, 1995
• A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
• On the existence, uniqueness, and stability of \(\beta\)-viscosity solutions to a class of Hamilton-Jacobi equations in Banach spaces
• Infinite horizon problems on stratifiable state-constraints sets
• Viscosity Solutions of Hamilton-Jacobi Equations
• Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative
• Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity
• Hamilton–Jacobi equations for optimal control on junctions and networks
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: Uniqueness of \(\beta\)-viscosity solutions of Hamilton-Jacobi equations and applications to a class of optimal control problems