5 papers · 1 filter
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…
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.
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…
Homology of spectral minimal partitions
Gregory Berkolaiko, Yaiza Canzani, Graham Cox +1
A spectral minimal partition of a manifold is its decomposition into disjoint open sets that minimizes a spectral energy functional. It is known that bipartite spectral minimal par…