Stéphane Vento

activity

20072025

most citedImprovement of the energy method for strongly non resonant dispersive equations and applications

44 citations · 78 across the 12 of their papers we have counts for

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Showing 2007 · math.APShow all

2 papers · 2 filters

math.AP2007★ 2 cited

Global well-posedness for dissipative Korteweg-de Vries equations

Stéphane Vento

This paper is devoted to the well-posedness for dissipative KdV equations $u_{t} + u_{xxx} + ∣ D_{x} ∣^{2 α} u + u u_{x} = 0$ , $0 < α \leq 1$ . An optimal bilinear estimate is obtained in Bourgain's type…

math.AP2007

Sharp well-posedness results for the generalized Benjamin-Ono equation with high nonlinearity

Stéphane Vento

We establish the local well-posedness of the generalized Benjamin-Ono equation $\partial_{t} u + H \partial_{x}^{2} u \pm u^{k} \partial_{x} u = 0$ in $H^{s} (R)$ , $s > 1/2 - 1/ k$ for $k \geq 12$ a…