Stability properties and large time behavior of viscosity solutions of Hamilton–Jacobi equations on metric spaces

DOI10.1088/1361-6544/aadc02zbMath1415.35092arXiv1602.00530OpenAlexW2962793906MaRDI QIDQ4687704

Atsushi Nakayasu, Tokinaga Namba

Publication date: 12 October 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00530

zbMATH Keywords

Hamilton-Jacobi equation on a geodesic space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)

Related Items (6)

Convexity preserving properties for Hamilton-Jacobi equations in geodesic spaces ⋮ Finite Dimensional Approximations of Hamilton–Jacobi–Bellman Equations for Stochastic Particle Systems with Common Noise ⋮ Unnamed Item ⋮ Equivalence of solutions of eikonal equation in metric spaces ⋮ Hamilton-Jacobi in metric spaces with a homological term ⋮ Finite Dimensional Approximations of Hamilton--Jacobi--Bellman Equations in Spaces of Probability Measures

Cites Work

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• Viscosity solutions of eikonal equations on topological networks
• On a class of first order Hamilton-Jacobi equations in metric spaces
• On metric viscosity solutions for Hamilton-Jacobi equations of evolution type
• A Generalized Dynamical Approach to the Large Time Behavior of Solutions of Hamilton--Jacobi Equations
• Nonconvex minimization problems
• Sur la convergence du semi-groupe de Lax-Oleinik
• Remarks on the long time behaviour of the solutions of hamilton-jacobi equations
• Hamilton-Jacobi Equations with Discontinuous Source Terms
• Eikonal equations in metric spaces
• Unnamed Item

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