Asymptotic analysis for the eikonal equation with the dynamical boundary conditions

DOI10.1002/mana.201300224zbMath1304.35046OpenAlexW1600867441MaRDI QIDQ2929419

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Publication date: 12 November 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300224

zbMATH Keywords

asymptotic behaviorHamilton-Jacobi equationseikonal equationsdynamical boundary conditionslarge-time asymptotics of limit equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

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Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition ⋮ A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions ⋮ The large diffusion limit for the heat equation with a dynamical boundary condition ⋮ On a dynamic boundary condition for singular degenerate parabolic equations in a half space ⋮ A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications ⋮ The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition

Cites Work

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• On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions
• A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations
• Stochastic differential equations with reflecting boundary conditions
• User’s guide to viscosity solutions of second order partial differential equations
• Dynamic Boundary Conditions for Hamilton--Jacobi Equations

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