Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints
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- Mitake, H. Appl Math Optim (2008) 58: 393. doi:10.1007/s00245-008-9041-1
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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.