Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians

DOI10.1016/j.jde.2011.10.010zbMath1230.35038OpenAlexW2106621589MaRDI QIDQ652478

Yoshikazu Giga, Hiroyoshi Mitake, Qing Liu

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.010

zbMATH Keywords

viscosity solutionone space dimensionnoncoercive 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) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

Related Items (11)

Waiting time effect for motion by positive second derivatives and applications ⋮ A PDE Approach to Large-Time Asymptotics for Boundary-Value Problems for Nonconvex Hamilton–Jacobi Equations ⋮ On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems ⋮ Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations ⋮ Large time behavior of periodic viscosity solutions for uniformly parabolic integro-differential equations ⋮ Ergodic behavior of control and mean field games problems depending on acceleration ⋮ Hamilton-Jacobi Equations with Discontinuous Source Terms ⋮ On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions ⋮ On Asymptotic Speed of Solutions to Level-Set Mean Curvature Flow Equations with Driving and Source Terms ⋮ A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations ⋮ Asymptotic problems in optimal control with a vanishing Lagrangian and unbounded data

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