8 citations · 11 across the 4 of their papers we have counts for
5 papers · 1 filter
Dispersive decay and scattering for continuum Calogero--Moser models
Rowan Killip, Thierry Laurens, Jason Murphy +1
We prove pointwise decay and scattering for small-mass solutions to the focusing and defocusing continuum Calogero--Moser models under suitable decay assumptions on the initial dat…
A-priori estimates for generalized Korteweg-de Vries equations in
Mihaela Ifrim, Thierry Laurens
We prove local-in-time a-priori estimates in for a family of generalized Korteweg--de Vries equations. This is the first estimate for any non-integrable pertur…
Scaling-critical well-posedness for continuum Calogero-Moser models
Rowan Killip, Thierry Laurens, Monica Visan
We prove that the focusing and defocusing continuum Calogero--Moser models are well-posed in the scaling-critical space . In the focusing case, this requires solu…
Sharp well-posedness for the Benjamin--Ono equation
Rowan Killip, Thierry Laurens, Monica Visan
The Benjamin--Ono equation is shown to be well-posed, both on the line and on the circle, in the Sobolev spaces for . The proof rests on a new gauge transformati…
Global well-posedness for perturbations of KdV with exotic spatial asymptotics
Thierry Laurens
Given a suitable solution to the Korteweg--de Vries equation on the real line, we prove global well-posedness for initial data . Ou…