168 citations · 318 across the 32 of their papers we have counts for
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math.NA2011★ 36 cited
Weighted eigenfunction estimates with applications to compressed sensing
Nicolas Burq, Semyon Dyatlov, Rachel Ward +1
Using tools from semiclassical analysis, we give weighted L^\infty estimates for eigenfunctions of strictly convex surfaces of revolution. These estimates give rise to new sampling…
math.AP2011★ 8 cited
Control for Schroedinger operators on tori
Nicolas Burq, Maciej Zworski
A well known result of Jaffard states that an arbitrary region on a torus controls, in the L2 sense, solutions of the free stationary and dynamical Schroedinger equations. In this…
math.AP2011
Probabilistic well-posedness for the cubic wave equation
Nicolas Burq, Nikolay Tzvetkov
The purpose of this article is to introduce for dispersive partial differential equations with random initial data, the notion of well-posedness (in the Hadamard-probabilistic sens…