Institut Universitaire de France

most citedp-elementary subgroups of the Cremona group

4 citations

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5 papers

math.AP2005★ 4 cited

On well-posedness for the Benjamin-Ono equation

N. Burq, F. Planchon

We prove existence of solutions for the Benjamin-Ono equation with data in $H^{s} (R)$ , $s > 0$ . Thanks to conservation laws, this yields global solutions for $H^{\frac{1}{2}} (R)$ data, w…

math.AP2005★ 1 cited

Spreading of quasimodes in the Bunimovich stadium

Nicolas Burq, Andrew Hassell, Jared Wunsch

We consider Dirichlet eigenfunctions $u_{λ}$ of the Bunimovich stadium $S$ , satisfying $(Δ - λ^{2}) u_{λ} = 0$ . Write $S = R \cup W$ where $R$ is the central rectangle and $W$ denotes the…

math.SP2005

Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds

N. Burq, P. Gerard, N. Tzvetkov

We give estimates for the $L^{p}$ norm ( $2 \leq p \leq + \infty$ ) of the restriction to a curve of the eigenfunctions of the Laplace Beltrami operator on a Riemannian surface. If the c…

math.AG2005

Sur certaines singularites non isolees d'hypersurfaces I

Daniel Barlet

The aim of this fisrt part is to introduce, for a rather large class of hypersurface singularities with 1 dimensionnal locus, the analog of the Brieskorn lattice at the origin (the…

math.AG2005★ 4 cited

p-elementary subgroups of the Cremona group

Arnaud Beauville

We classify, up to conjugacy, the subgroups of the Cremona group isomorphic to (Z/p)^r, where p is prime and r is maximal.