23 citations · 69 across the 8 of their papers we have counts for
8 papers
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds
N. Burq, P. Gerard, N. Tzvetkov
We give estimates for the norm () of the restriction to a curve of the eigenfunctions of the Laplace Beltrami operator on a Riemannian surface. If the c…
Multilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear SchrÖdinger Equations
N. Burq, P. Gerard, N. Tzvetkov
We study nonlinear Schrödinger equations, posed on a three dimensional Riemannian manifold . We prove global existence of strong solutions on and …
Eigenfunctions for partially rectangular billiards
N. Burq, M. Zworski
In this note we further develop the idea of using a ``black box'' point of view (see our previous work) to study eigenfunctions for billiards which have rectangular components: the…
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…
Bouncing ball modes and quantum chaos
N. Burq, M. Zworski
Quantum ergodicity of classically chaotic systems has been studied extensively both theoretically and experimentally, in mathematics, and in physics. Despite this long tradition we…
Control in the presence of a black box
N. Burq, M. Zworski
We apply the ``black box'' scattering theory to problems in control theory and in high energy eigenvalue scarring.