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Article Dans Une Revue Journal of Dynamical and Control Systems Année : 2016

KdV Hamiltonian as a Function of Actions

Résumé

We prove that the non-linear part of the Hamiltonian of the KdV equation on the circle, written as a function of the actions, defines a continuous convex function on the l_2 space and derive for it lower and upper bounds in terms of some functions of the l_2-norm. The proof is based on a new representation of the Hamiltonian in terms of the quasimomentum, obtained via the conformal mapping theory.
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Dates et versions

hal-03384379 , version 1 (18-10-2021)

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Evgeny L Korotyaev, Sergei Kuksin. KdV Hamiltonian as a Function of Actions. Journal of Dynamical and Control Systems, 2016, 22 (4), pp.661-682. ⟨10.1007/s10883-015-9289-0⟩. ⟨hal-03384379⟩
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