22 citations · 32 across the 3 of their papers we have counts for
4 papers · 1 filter
A Centre-Stable Manifold for the Energy-Critical Wave Equation in R^3 in the Symmetric Setting
Marius Beceanu
Consider the focusing semilinear wave equation in R^3 with energy-critical nonlinearity \partial_t^2 ψ- Δψ- ψ^5 = 0, ψ(0) = ψ_0, \partial_t ψ(0) = ψ_1. This equation admits station…
The Schroedinger Equation with Potential in Rough Motion
Marius Beceanu, Avy Soffer
This paper proves endpoint Strichartz estimates for the linear Schroedinger equation in , with a time-dependent potential that keeps a constant profile and is subject to a rou…
A Critical Centre-Stable Manifold for the Cubic Focusing Schroedinger Equation in Three Dimensions
Marius Beceanu
Consider the H^{1/2}-critical Schroedinger equation with a cubic nonlinearity in R^3, i \partial_t ψ+ Δψ+ |ψ|^2 ψ= 0. It admits an eight-dimensional manifold of periodic solutions…
A Centre-Stable Manifold for the Focussing Cubic NLS in
Marius Beceanu
Consider the focussing cubic nonlinear Schrödinger equation in : It admits special solutions of the form , where is a Schwartz function…