Tim Van Hoose

activity

20232026

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math.AP2026

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 $L$ and with vanishing avera…

math.AP2024

Modified Scattering for the Hartree Nonlinear Schrödinger Equation

Tim Van Hoose

We prove sharp $L^{\infty}$ decay and modified scattering for the Hartree nonlinear Schrödinger equation in dimensions $2$ and $3$ using the testing by wavepackets method of Ifrim an…

math.AP2023

Modified Scattering for the Schrödinger-Bopp-Podolsky Equation

Tim Van Hoose

We prove sharp $L^{\infty}$ decay and modified scattering for the Schrödinger-Bopp-Podolsky equation in $2$ and $3$ spatial dimensions with small initial data chosen from a weighted…