S. Roudenko

activity

20062026

most citedA sharp condition for scattering of the radial 3d cubic nonlinear Schroedinger equation

307 citations · 580 across the 47 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.AP2009★ 1 cited

Blow-up criteria for the 3d cubic nonlinear Schrödinger equation

Justin Holmer, Rodrigo Platte, Svetlana Roudenko

We consider solutions $u$ to the 3d nonlinear Schrödinger equation $i \partial_{t} u + Δ u + ∣ u ∣^{2} u = 0$ . In particular, we are interested in finding criteria on the initial data $u_{0}$ t…

math.AP2009★ 6 cited

Divergence of infinite-variance nonradial solutions to the 3d NLS equation

Justin Holmer, Svetlana Roudenko

We consider solutions $u (t)$ to the 3d NLS equation $i \partial_{t} u + Δ u + ∣ u ∣^{2} u = 0$ such that $∥ xu (t) ∥_{L^{2}} = \infty$ and $u (t)$ is nonradial. Denoting by $M [u]$ and $E [u]$ , the…