N. Badr

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20072012

most cited

L^{p}

Boundedness of Riesz transform related to Schrödinger operators on a manifold

9 citations · 18 across the 11 of their papers we have counts for

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math.AP2012

A Meyers type regularity result for approximations of second order elliptic operators by Galerkin schemes

Nadine Badr, Emmanuel Russ

We prove a Meyers type regularity estimate for approximate solutions of second order elliptic equations obtained by Galerkin methods. The proofs rely on interpolation results for S…

math.AP2008

Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs

Nadine Badr, Emmanuel Russ

Let $Γ$ be a graph endowed with a reversible Markov kernel $p$ , and $P$ the associated operator, defined by $P f (x) = \sum_{y} p (x, y) f (y)$ . Denote by $\nabla$ the discrete gradient. We…

math.AP2007

Gagliardo-Nirenberg inequalities on manifolds

Nadine Badr

We prove Gagliardo-Nirenberg inequalities on some classes of manifolds, Lie groups and graphs.