The selection problem for discounted Hamilton-Jacobi equations: some non-convex cases

DOI10.2969/jmsj/07017534zbMath1403.35082arXiv1605.07532OpenAlexW2963658117MaRDI QIDQ1743705

Hung V. Tran, Hiroyoshi Mitake, Diogo Aguiar Gomes

Publication date: 13 April 2018

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

Full work available at URL: https://arxiv.org/abs/1605.07532

zbMATH Keywords

ergodic problemsnonlinear adjoint methodsdiscounted approximationnonconvex Hamilton-Jacobi equations

Mathematics Subject Classification ID

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

Related Items

The selection problem for some first-order stationary mean-field games, Convergence of the solutions of discounted Hamilton-Jacobi systems, Weak KAM theory for discounted Hamilton-Jacobi equations and its application, The vanishing discount problem and viscosity Mather measures. II: Boundary value problems, The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. I: Linear coupling, Convergence of solutions of Hamilton-Jacobi equations depending nonlinearly on the unknown function, The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. II: Nonlinear coupling, Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: the central role of Mather measures, Unnamed Item, Vanishing contact structure problem and convergence of the viscosity solutions, On Cell Problems for Nonlinear PDES and Its Application to Homogenization, Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians, Selection problems for a discount degenerate viscous Hamilton-Jacobi equation, Generalized ergodic problems: existence and uniqueness structures of solutions, Aubry-Mather theory for contact Hamiltonian systems. II, The Hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures

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