35 citations · 66 across the 8 of their papers we have counts for
4 papers · 2 filters
Dynamic of threshold solutions for energy-critical wave equation
Thomas Duyckaerts, Frank Merle
We consider the energy-critical non-linear focusing wave equation in dimension N=3,4,5. An explicit stationnary solution, , of this equation is known. The energy E(W,0) has been…
Dynamic of threshold solutions for energy-critical NLS
Thomas Duyckaerts, Frank Merle
We consider the radial energy-critical non-linear focusing Schrödinger equation in dimension N=3,4,5. An explicit stationnary solution, W, of this equation is known. In a previous…
Scattering for the non-radial 3D cubic nonlinear Schroedinger equation
Thomas Duyckaerts, Justin Holmer, Svetlana Roudenko
Scattering of radial solutions to the 3D focusing cubic nonlinear Schrödinger equation below a mass-energy threshold and satisfying an initial mass-grad…
Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds
Valeria Banica, Thomas Duyckaerts
We prove global weighted Strichartz estimates for radial solutions of linear Schrödinger equation on a class of rotationally symmetric noncompact manifolds, generalizing the known…