35 citations · 55 across the 5 of their papers we have counts for
5 papers
Threshold solutions for the focusing 3d cubic Schroedinger equation
Thomas Duyckaerts, Svetlana Roudenko
We study the focusing 3d cubic NLS equation with H^1 data at the mass-energy threshold, namely, when M[u_0]E[u_0] = M[Q]E[Q]. In earlier works of Holmer-Roudenko and Duyckaerts-Hol…
Function spaces of variable smoothness and integrability
Lars Diening, Peter Hästö, Svetlana Roudenko
In this article we introduce Triebel--Lizorkin spaces with variable smoothness and integrability. Our new scale covers spaces with variable exponent as well as spaces of variable s…
A universal Stein-Tomas restriction estimate for measures in three dimensions
Alex Iosevich, Svetlana Roudenko
We study restriction estimates in R^3 for surfaces given as graphs of W^1_1(R^2) (integrable gradient) functions. We obtain a "universal" L^2(mu) -> L^4(R^3, L^2(SO(3))) estimate f…
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…
On blow-up solutions to the 3D cubic nonlinear Schroedinger equation
Justin Holmer, Svetlana Roudenko
For the 3d cubic nonlinear Schrödinger (NLS) equation, which has critical (scaling) norms and , we first prove a result establishing sufficient conditions for g…