Viability for locally monotone evolution inclusions and lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations in infinite dimensions

DOI10.1051/cocv/2024086MaRDI QIDQ6664369

Jichao Jiang, Christian Keller

Publication date: 16 January 2025

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

optimal controlevolution inclusionsviscosity solutionsviabilitypath-dependent partial differential equationscontingent solutions

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Evolution inclusions (34G25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Nonlinear evolution equations (47J35)

Cites Work

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• Equivalence of minimax and viscosity solutions of path-dependent Hamilton-Jacobi equations
• Mean viability theorems and second-order Hamilton-Jacobi equations

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