176 citations · 291 across the 8 of their papers we have counts for
7 papers · 1 filter
A class of stable perturbations for a minimal mass soliton in three dimensional saturated nonlinear Schrödinger equations
Jeremy Marzuola
In this result, we develop the techniques of \cite{KS1} and \cite{BW} in order to determine a class of stable perturbations for a minimal mass soliton solution of a saturated, focu…
Dispersive estimates using scattering theory for matrix Hamiltonian equations
Jeremy Marzuola
We develop the techniques of \cite{KS1} and \cite{ES1} in order to derive dispersive estimates for a matrix Hamiltonian equation defined by linearizing about a minimal mass soliton…
Eigenfunction concentration for polygonal billiards
Andrew Hassell, Luc Hillairet, Jeremy Marzuola
In this note, we extend the results on eigenfunction concentration in billiards as proved by the third author in \cite{M1}. There, the methods developed in Burq-Zworski \cite{BZ3}…
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru
In this article we study global-in-time Strichartz estimates for the Schrödinger evolution corresponding to long-range perturbations of the Euclidean Laplacian. This is a natural c…
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…