176 citations · 768 across the 86 of their papers we have counts for
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Nonconcentration in partially rectangular billiards
Luc Hillairet, Jeremy L. Marzuola
In specific types of partially rectangular billiards we estimate the mass of an eigenfunction of energy in the region outside the rectangular set in the high-energy limit. We u…
Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications
Vincent Duchêne, Jeremy L. Marzuola, Michael I. Weinstein
Boundedness of wave operators for Schrödinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. App…
Spectral Analysis for Matrix Hamiltonian Operators
Jeremy L. Marzuola, Gideon Simpson
In this work, we study the spectral properties of matrix Hamiltonians generated by linearizing the nonlinear Schrödinger equation about soliton solutions. By a numerically assisted…
Strichartz estimates for the Schrödinger equation on polygonal domains
Matthew D. Blair, G. Austin Ford, Sebastian Herr +1
We prove Strichartz estimates with a loss of derivatives for the Schrödinger equation on polygonal domains with either Dirichlet or Neumann homogeneous boundary conditions. Using a…
Small data scattering and soliton stability in for the quartic KdV Equation
Herbert Koch, Jeremy L. Marzuola
In this note we prove scattering for perturbations of solitons in the scaling space appropriate for the quartic nonlinearity, namely . The article relies strong…