The large-time behavior of solutions of Hamilton-Jacobi equations on the real line

DOI10.4310/MAA.2008.v15.n2.a8zbMath1170.35339OpenAlexW2054517782MaRDI QIDQ730798

Hitoshi Ishii, Naoyuki Ichihara

Publication date: 1 October 2009

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1251827666

zbMATH Keywords

asymptotic solutionsHamilton-Jacobi equationslarge-time behavior

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Hamilton-Jacobi equations in mechanics (70H20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

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Long-time asymptotic solutions of convex Hamilton-Jacobi equations with Neumann type boundary conditions ⋮ Large-time asymptotics for one-dimensional Dirichlet problems for Hamilton-Jacobi equations with noncoercive Hamiltonians ⋮ A new PDE approach to the large time asymptotics of solutions of Hamilton–Jacobi equations ⋮ Singular Neumann problems and large-time behavior of solutions of noncoercive Hamilton-Jacobi equations ⋮ On the large time behavior of solutions of Hamilton-Jacobi equations associated with nonlinear boundary conditions ⋮ Large time behavior of solutions of Hamilton-Jacobi equations with periodic boundary data ⋮ On almost periodic viscosity solutions to Hamilton-Jacobi equations ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model ⋮ A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations ⋮ Long-time behavior of solutions of Hamilton-Jacobi equations with convex and coercive Hamiltonians

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