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Subsolutions of time-periodic Hamilton–Jacobi equations

Published online by Cambridge University Press:  22 June 2007

DANIEL MASSART
DANIEL MASSART
Affiliation:
Département de Mathématiques, Université Montpellier II, France (e-mail: [email protected])
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Abstract

We prove the existence of $C^{1}$ critical subsolutions of the Hamilton–Jacobi equation for a time-periodic Hamiltonian system. We draw a consequence for the Minimal Action functional of the system.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 4 , August 2007 , pp. 1253 - 1265
Copyright
2007 Cambridge University Press

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