N. Burq

most citedSmoothing effect for Schrödinger boundary value problems

15 citations · 20 across the 3 of their papers we have counts for

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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.AP2002★ 15 cited

Smoothing effect for Schrödinger boundary value problems

Nicolas Burq

We show the necessity of the non trapping condition for the plain smoothing effect ( $H^{1/2}$ ) for Schrödinger equation with Dirichlet boundary conditions in exterior problems. We…