F. Planchon

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20022005

most citedStrichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

23 citations · 33 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.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.AP2002★ 23 cited

Strichartz estimates for the Wave and Schrodinger Equations with the Inverse-Square Potential

Nicolas Burq, Fabrice Planchon, John G. Stalker +1

We prove spacetime weighted-L^2 estimates for the Schrodinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.