168 citations · 325 across the 23 of their papers we have counts for
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math.AP2003★ 5 cited
Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds
N. Burq, P. Gerard, N. Tzvetkov
The purpose of this note is to extend to any space dimension the bilinear estimate for eigenfunctions of the Laplace operator on a compact manifold (without boundary) obtained in a…
math.AP2003★ 168 cited
Bilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces
N. Burq, P. Gerard, N. Tzvetkov
We study the cubic non linear Schrödinger equation (NLS) on compact surfaces. On the sphere and more generally on Zoll surfaces, we prove that, for , NLS is u…