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Commuting Hamiltonians and multi-time Hamilton-Jacobi equations

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 نشر من قبل Claude Viterbo
 تاريخ النشر 2005
  مجال البحث
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We prove that if a sequence of pairs of smooth commuting Hamiltonians converge in the $C^0$ topology to a pair of smooth Hamiltonians, these commute. This allows us define the notion of commuting continuous Hamiltonians. As an application we extend some results of Barles and Tourin on multi-time Hamilton-Jacobi equations to a more general setting.



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