23 citations · 242 across the 47 of their papers we have counts for
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math.AP2019★ 7 cited
On the flow map of the Benjamin-Ono equation on the torus
Patrick Gerard, Thomas Kappeler, Peter Topalov
We prove that for any , the Benjamin--Ono equation on the torus is globally in time well-posed on the Sobolev space $H^{-s}(\T, \R)$,in the sense that the soluti…
math.AP2019
Large KAM tori for quasi-linear perturbations of KdV
Massimiliano Berti, Thomas Kappeler, Riccardo Montalto
In this paper we prove the persistence of space periodic multi-solitons of arbitrary size under any quasi-linear Hamiltonian perturbation, which is smooth and sufficiently small. T…
math.AP2019★ 12 cited
On the integrability of the Benjamin-Ono equation on the torus
Patrick Gerard, Thomas Kappeler
In this paper we prove that the Benjamin-Ono equation, when considered on the torus, is an integrable (pseudo)differential equation in the strongest possible sense: it admits globa…