The large-time behavior of solutions of the Cauchy-Dirichlet problem for Hamilton-Jacobi equations
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- Mitake, H. Nonlinear differ. equ. appl. (2008) 15: 347. doi:10.1007/s00030-008-7043-y
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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.