Thierry Laurens

most citedScaling-critical well-posedness for continuum Calogero-Moser models

3 citations · 3 across the 1 of their papers we have counts for

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math.AP2025

A-priori estimates for generalized Korteweg-de Vries equations in $H^{- 1} (R)$

Mihaela Ifrim, Thierry Laurens

We prove local-in-time a-priori estimates in $H^{- 1} (R)$ for a family of generalized Korteweg--de Vries equations. This is the first estimate for any non-integrable pertur…

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…

A-priori estimates for generalized Korteweg-de Vries equations in H−1(R)

Scaling-critical well-posedness for continuum Calogero-Moser models

A-priori estimates for generalized Korteweg-de Vries equations in $H^{- 1} (R)$