176 citations · 768 across the 86 of their papers we have counts for
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Wave packet parametrices for evolutions governed by PDO's with rough symbols
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru
In this note, we consider wave packet parametrices for Schrodinger-like evolution equations. Under an integrability condition along the flow, we prove that the flow is then globall…
Soliton splitting by external delta potentials
Justin Holmer, Jeremy Marzuola, Maciej Zworski
We show that a soliton scattered by an external delta potential splits into two solitons and a radiation term. Theoretical analysis gives the amplitudes and phases of the reflected…
Fast soliton scattering by delta impurities
Justin Holmer, Jeremy Marzuola, Maciej Zworski
We study the Gross-Pitaevskii equation (nonlinear Schroedinger equation) with a repulsive delta function potential. We show that a high velocity incoming soliton is split into a tr…