Fully nonlinear Neumann type boundary conditions for first-order Hamilton–Jacobi equations

DOI10.1016/0362-546X(91)90165-WzbMath0736.35023OpenAlexW1968158564MaRDI QIDQ3970946

Guy Barles, Pierre-Louis Lions

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90165-w

zbMATH Keywords

existenceuniquenessviscosity solutionfirst-order Hamilton-Jacobi equationsfully nonlinear Neumann type boundary conditions

Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (14)

Effective nonlinear Neumann boundary conditions for 1D nonconvex Hamilton-Jacobi equations ⋮ Finite time Merton strategy under drawdown constraint: a viscosity solution approach ⋮ Ergodic problem for the Hamilton-Jacobi-Bellman equation. I: Existence of the ergodic attractor ⋮ User’s guide to viscosity solutions of second order partial differential equations ⋮ Weak KAM aspects of convex Hamilton-Jacobi equations with Neumann type boundary conditions ⋮ A semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations with oblique derivatives boundary conditions ⋮ The Dirichlet Problem for Semilinear Second-Order Degenerate Elliptic Equations and Applications to Stochastic Exit Time Control Problems ⋮ A characterization of the reflected quasipotential ⋮ A convergence result for the ergodic problem for Hamilton–Jacobi equations with Neumann-type boundary conditions ⋮ On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions ⋮ Boundary value problems for first order Hamilton-Jacobi equations ⋮ Viscosity solutions for an optimal control problem with Preisach hysteresis nonlinearities ⋮ Nonlinear Neumann boundary conditions for quasilinear degenerate elliptic equations and applications ⋮ Dynamic programming and error estimates for stochastic control problems with maximum cost

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations
• A viscosity solution approach to the asymptotic analysis of queueing systems
• Semidifferentials, quadratic forms and fully nonlinear elliptic equations of second order
• Perron's method for Hamilton-Jacobi equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Asymptotic behavior of some nonlinear heat equations
• Neumann type boundary conditions for Hamilton-Jacobi equations
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Hamilton-Jacobi Equations with State Constraints
• Optimal Control with State-Space Constraint I
• Optimal Control with State-Space Constraint. II
• Discontinuous solutions of deterministic optimal stopping time problems
• A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations
• The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems
• Exit Time Problems in Optimal Control and Vanishing Viscosity Method

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