Multiple asymptotic behaviors of solutions in the generalized vanishing discount problem

DOI10.1090/proc/16420OpenAlexW4318773870MaRDI QIDQ6049974

Panrui Ni

Publication date: 11 October 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16420

zbMATH Keywords

Hamilton-Jacobi equationsperiodic boundary conditionsviscosity solutionsvanishing discount problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Cites Work

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• Convergence of the solutions of the discounted Hamilton-Jacobi equation: a counterexample
• Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function
• Viscosity solutions of contact Hamilton-Jacobi equations with Hamiltonians depending periodically on unknown functions
• Implicit variational principle for contact Hamiltonian systems
• Vanishing contact structure problem and convergence of the viscosity solutions

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