Laboratoire de Mathématiques Jean Leray

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20022008

most citedThe d-bar approach to approximate inverse scattering at fixed energy in three dimensions

76 citations

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math.AP2008

Dispersive estimates for the Schrodinger equation in dimensions four and five

Fernando Cardoso, Claudio Cuevas, Georgi Vodev

We prove optimal (that is, without loss of derivatives) dispersive estimates for the Schrodinger group $e^{i t (- Δ + V)}$ for a class of real-valued potentials $V \in C^{k} (R^{n})$ with $k>…

math.AP2007

On stable determination of potential by boundary measurements

Roman Novikov

We give new stability estimates for the Gel'fand-Calderon inverse boundary value problem

math.AP2004

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends

Gilles Carron, Thierry Coulhon, Andrew Hassell

Let $M$ be a smooth Riemannian manifold which is the union of a compact part and a finite number of Euclidean ends, $\RR^n \setminus B(0,R)$ for some $R > 0$ , each of which carries…

math.AP2004★ 2 cited

Weighted L^p decay estimates of solutions to the wave equation with a potential

Fernando Cardoso, Georgi Vodev

We obtain large time decay estimates on weighted $L^{p}$ spaces for solutions to the wave equation with real-valued potential $V (x) = O (∣ x ∣^{- 2 - a})$ , $a > 0$ , for $∣ x ∣ > 1$ .

Dispersive estimates for the Schrodinger equation in dimensions four and five

On stable determination of potential by boundary measurements

Riesz transform and Lp cohomology for manifolds with Euclidean ends

Weighted L^p decay estimates of solutions to the wave equation with a potential

Riesz transform and $L^{p}$ cohomology for manifolds with Euclidean ends