Applied Mathematics and Optimization

, Volume 58, Issue 3, pp 393–410

Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints


DOI: 10.1007/s00245-008-9041-1

Cite this article as:
Mitake, H. Appl Math Optim (2008) 58: 393. doi:10.1007/s00245-008-9041-1


We study Hamilton-Jacobi equations in a bounded domain with the state constraint boundary condition. We establish a general convergence result for viscosity solutions of the Cauchy problem for Hamilton-Jacobi equations with the state constraint boundary condition to asymptotic solutions as time goes to infinity.


Hamilton-Jacobi equationsLarge-time behaviorState constraints

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Pure and Applied MathematicsWaseda UniversityTokyoJapan