307 citations · 1.2k across the 45 of their papers we have counts for
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math.AP2012
A solution to the focusing 3d NLS that blows up on a contracting sphere
Justin Holmer, Galina Perelman, Svetlana Roudenko
We rigorously construct radial solutions to the 3d cubic focusing NLS equation that blow-up along a contracting sphere. With blow-up time set…
math.AP2012★ 43 cited
On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics
Xuwen Chen, Justin Holmer
We consider the 3D quantum many-body dynamics describing a dilute bose gas with strong confining in one direction. We study the corresponding BBGKY hierarchy which contains a diver…
math.AP2012★ 1 cited
Low regularity bounds for mKdV
Michael Christ, Justin Holmer, Daniel Tataru
We study the local well-posedness in the Sobolev space H^s for the modified Korteweg-de Vries (mKdV) equation on the real line. Kenig-Ponce-Vega \cite{KPV2} and Christ-Colliander-T…