176 citations · 768 across the 86 of their papers we have counts for
7 papers · 1 filter
Schr{ö}dinger maps to a K{ä}hler manifold in two dimensions
Benjamin Dodson, Jeremy L. Marzuola
We prove a global well--posedness and scattering result for Schr{ö}dinger maps to a general K{ä}hler manifold with small initial data in a Besov space.
Discrete Bound States in a Toy Model for Weak Turbulence and Implications for the Invariant Measure
Jeremy L. Marzuola, Jonathan C. Mattingly
A model Hamiltonian dynamical system has been derived to study frequency cascades in the cubic defocusing nonlinear Schrödinger equation on the torus. Here, we explore the framewor…
Recovering elastic subdomains with strain-gradient elastic interfaces from force measurements: the antiplane shear setting
Govanni Granados, Jeremy L. Marzuola, Casey Rodriguez
We introduce and study a new inverse problem for antiplane shear in elastic bodies with strain-gradient interfaces. The setting is a homogeneous isotropic elastic body containing a…
On the Spectrum of Schrödinger Operators Interacting at Two Distinct Scales
Emmanuel Fleurantin, Jeremy L. Marzuola, Christopher K. R. T. Jones
Schrödinger operators of the form on , the space of radially symmetric square integrable functions, are relevant in a variety of physical con…
Edge states in square lattice media and their deformations
Jonah Chaban, Jeremy L. Marzuola, Michael I. Weinstein
Edge states are time-harmonic solutions of conservative wave systems which are plane wave-like parallel to and localized transverse to an interface between two bulk media. We study…
Cauchy Data for 1D singular Schrödinger operators
Luc Hillairet, Jeremy L. Marzuola
We study semiclassical 1-D Schrödinger operators of the form on a finite interval for . We show tha…