Thierry Laurens

activity

20212026

H^{- 1} (R)

perturbations of KdV with exotic spatial asymptotics

8 citations · 11 across the 4 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math.AP2023★ 3 cited

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 $L_{+}^{2} (R)$ . In the focusing case, this requires solu…

math.AP2023

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 $H^{s}$ for $s > - \frac{1}{2}$ . The proof rests on a new gauge transformati…