176 citations · 768 across the 86 of their papers we have counts for
104 papers
Eigenfunction asymptotics and nodal domain estimates for dumbbell domains
Thomas Beck, Yaiza Canzani, Jeremy L. Marzuola
We study the nodal structure of Neumann eigenfunctions on planar dumbbell domains as the width of the neck joining two fixed end domains tends to zero. Under simplicity and non-deg…
On Analyticity of Solitons for the Periodic Dispersion-Managed Nonlinear Schrödinger Equation
Sebastian Herr, Dirk Hundertmark, Jeremy L. Marzuola +1
We explore the regularity of energy maximizers for the Lagrangian of a periodic dispersion managed fiber optic at fixed intensity, on a torus of length and with vanishing avera…
Probing the influence of topological and geometric disorder on the spectrum of the differential Laplacian operator on networks
Charles Emmett Maher, Jeremy L. Marzuola, Katherine A. Newhall
Metric networks are network-shaped, one-dimensional structures on which one can solve differential equations to simulate a wide range of physical systems including conjugated molec…
Transmission and Reflection coefficients for Schrödinger Operators with Truncated Periodic Potentials that support defect states
Joseph C. Stellman, Jeremy L. Marzuola
We consider scattering waves through truncated periodic potentials with perturbations that support localized gap eigenstates. In a small complex neighborhood around an assumed posi…
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…