176 citations · 768 across the 86 of their papers we have counts for
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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…
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.
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…
Stability of spectral partitions with corners
Gregory Berkolaiko, Yaiza Canzani, Graham Cox +2
A spectral minimal partition of a manifold is a decomposition into disjoint open sets that minimizes a spectral energy functional. While it is known that bipartite minimal partitio…