The large-time behavior of solutions of the Cauchy-Dirichlet problem for Hamilton-Jacobi equations

Article

Abstract.

We investigate the large-time behavior of viscosity solutions of the Cauchy-Dirichlet problem (CD) for Hamilton-Jacobi equations on bounded domains. We establish general convergence results for viscosity solutions of (CD) by using the Aubry-Mather theory.

Keywords.

large-time behavior Hamilton-Jacobi equations Cauchy-Dirichlet problem Aubry set 

Mathematics Subject Classification (2000).

35B40 35F25 35F30 

Copyright information

© Birkhaueser 2008

Authors and Affiliations

  1. 1.Department of Pure and Applied MathematicsWaseda UniversityTokyoJapan

Personalised recommendations