43 citations · 55 across the 5 of their papers we have counts for
5 papers
Strichartz estimates for long range perturbations
Jean-Marc Bouclet, Nikolay Tzvetkov
We study local in time Strichartz estimates for the Schroedinger equation associated to long range perturbations of the flat Laplacian on the euclidean space. We prove that in such…
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…
Nonlinear wave interactions for the Benjamin-Ono equation
Herbert Koch, Nikolay Tzvetkov
We study the interaction of suitable small and high frequency waves evolving by the flow of the Benjamin-Ono equation. As a consequence, we prove that the flow map of the Benjamin-…
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 …
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…