Convergence of the solutions of the discounted Hamilton-Jacobi equation: a counterexample
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math.OC
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equationcounterexamplediscountedhamilton-jacobihamiltoniansolutionsasymptoticbehavior
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This paper provides a counterexample about the asymptotic behavior of the solutions of a discounted Hamilton-Jacobi equation, as the discount factor vanishes. The Hamiltonian of the equation is a 1-dimensional continuous and coercive Hamiltonian.
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