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A notion of extremal solutions for time periodic Hamilton-Jacobi equations

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  • This paper is concerned with time periodic solutions of Hamilton-Jacobi equations in which the hamiltonian is increasing wrt to the unknown variable. When the uniqueness of the periodic solution is not guaranteed, we define a notion of extremal solution and propose two different ways to attain it, together with the corresponding numerical simulations. In the course of the analysis, the ode case, where we show that things are rather explicit, is also visited.
    Mathematics Subject Classification: Primary: 35F25, 35B10; Secondary: 65M06.


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