176 citations · 768 across the 86 of their papers we have counts for
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Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii Equations
Jeremy L. Marzuola, Michael I. Weinstein
We consider a class nonlinear Schrödinger / Gross-Pitaevskii equations (NLS/GP) with a focusing (attractive) nonlinear potential and symmetric double well linear potential. NLS/GP…
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…
A system of ODEs for a Perturbation of a Minimal Mass Soliton
J. Marzuola, S. Raynor, G. Simpson
We study soliton solutions to a nonlinear Schrodinger equation with a saturated nonlinearity. Such nonlinearities are known to possess minimal mass soliton solutions. We consider a…
Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space
Hans Christianson, Jeremy Marzuola
We study the existence and stability of ground state solutions or solitons to a nonlinear stationary equation on hyperbolic space. The method of concentration compactness applies a…