168 citations · 325 across the 23 of their papers we have counts for
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math.AP2019
On a damped Szego equation (with an appendix in collaboration with Christian Klein)
Patrick Gerard, Sandrine Grellier
We investigate how damping the lowest Fourier mode modifies the dynamics of the cubic Szeg{ö} equation. We show that there is a nonempty open subset of initial data generating traj…
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★ 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…