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Article Dans Une Revue Bulletin of Mathematical Sciences Année : 2013

A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations

Résumé

We introduce a new PDE approach to establishing the large time asymptotic behavior of solutions of Hamilton-Jacobi equations, which modifies and simplifies the previous ones (\cite{BS, BIM}), under a refined ''strict convexity'' assumption on the Hamiltonians. Not only such ''strict convexity'' conditions generalize the corresponding requirements on the Hamiltonians in \cite{BS}, but also one of the most refined our conditions covers the situation studied in \cite{NR}.
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Dates et versions

hal-00745918 , version 1 (26-10-2012)

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Guy Barles, Hitoshi Ishii, Hiroyoshi Mitake. A new PDE approach to the large time asymptotics of solutions of Hamilton-Jacobi equations. Bulletin of Mathematical Sciences, 2013, 3 (3), pp.363-388. ⟨hal-00745918⟩
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