176 citations · 768 across the 86 of their papers we have counts for
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Dynamics near a minimal-mass soliton for a Korteweg-de Vries equation
Jeremy L. Marzuola, Sarah Raynor, Gideon Simpson
We study soliton solutions to a generalized Korteweg - de Vries (KdV) equation with a saturated nonlinearity, following the line of inquiry of the authors for the nonlinear Schrödi…
Strichartz estimates on exterior polygonal domains
Dean Baskin, Jeremy L. Marzuola, Jared Wunsch
Using a new local smoothing estimate of the first and third authors, we prove local-in-time Strichartz and smoothing estimates without a loss exterior to a large class of polygonal…
Behavior of a Model Dynamical System with Applications to Weak Turbulence
James E. Colliander, Jeremy L. Marzuola, Tadahiro Oh +1
We experimentally explore solutions to a model Hamiltonian dynamical system derived in Colliander et al., 2012, to study frequency cascades in the cubic defocusing nonlinear Schröd…
Quasilinear Schrödinger equations II: Small data and cubic nonlinearities
Jeremy L. Marzuola, Jason Metcalfe, Daniel Tataru
In part I of this project we examined low regularity local well-posedness for generic quasilinear Schrödinger equations with small data. This improved, in the small data regime, th…
Nonlinear bound states on weakly homogeneous spaces
Hans Christianson, Jeremy Marzuola, Jason Metcalfe +1
We prove the existence of ground state solutions for a class of nonlinear elliptic equations, arising in the production of standing wave solutions to an associated family of nonlin…