The large-time behavior of solutions of the Cauchy-Dirichlet problem for Hamilton-Jacobi equations |
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| Authors: | Hiroyoshi Mitake |
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| Institution: | (1) Department of Pure and Applied Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan |
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| 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.
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| Keywords: | " target="_blank"> large-time behavior Hamilton-Jacobi equations Cauchy-Dirichlet problem Aubry set |
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