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math.AP2008★ 9 cited
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…
math.AP2007★ 35 cited
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…
math.AP2007★ 11 cited
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…