Nicolas Burq

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20032005

most citedMultilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear SchrÖdinger Equations

7 citations · 29 across the 7 of their papers we have counts for

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Showing 2004 · math.APShow all

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math.AP2004★ 6 cited

Smoothing And Dispersive Estimates For 1d Schrödinger Equations With BV Coefficients And Applications

N. Burq, F. Planchon

We prove smoothing estimates for Schrödinger equations $i \partial_{t} ϕ + \partial_{x} (a (x) \partial_{x} ϕ) = 0$ with $a (x) \in BV$ , the space of functions with bounded total varia…

math.AP2004★ 7 cited

Multilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear SchrÖdinger Equations

N. Burq, P. Gerard, N. Tzvetkov

We study nonlinear Schrödinger equations, posed on a three dimensional Riemannian manifold $M$ . We prove global existence of strong $H^{1}$ solutions on $M = S^{3}$ and $M = S^{2} \times S^{1}$ …