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Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints

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Abstract

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.

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Authors and Affiliations

  1. Department of Pure and Applied Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo, 169-8555, Japan

    Hiroyoshi Mitake

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  1. Hiroyoshi Mitake
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Correspondence to Hiroyoshi Mitake.

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Mitake, H. Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints. Appl Math Optim 58, 393–410 (2008). https://doi.org/10.1007/s00245-008-9041-1

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