Large time behavior of solutions of Hamilton-Jacobi equations with periodic boundary data

DOI10.1016/J.NA.2009.04.028zbMath1184.35061OpenAlexW1974168959MaRDI QIDQ732573

Hiroyoshi Mitake

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.028

zbMATH Keywords

periodic solutionHamilton-Jacobi equationsCauchy-Dirichlet problemlarge-time behaviorAubry set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Initial value problems for nonlinear first-order PDEs (35F25) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (10)

Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations ⋮ Time periodic solutions of Hamilton-Jacobi equations with autonomous Hamiltonian on the circle ⋮ Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians ⋮ A PDE Approach to Large-Time Asymptotics for Boundary-Value Problems for Nonconvex Hamilton–Jacobi Equations ⋮ Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations ⋮ Some results on the large-time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations ⋮ On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions ⋮ Large-time behavior for obstacle problems for degenerate viscous Hamilton-Jacobi equations ⋮ A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations ⋮ On the stochastic SIS epidemic model in a periodic environment

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