Tim Van Hoose

activity

20212026

most citedWell-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

math.PR2026

Higher-Order Paracontrolled Calculus for Geometric Rough Paths

Tim Van Hoose

We study the rough differential equation $\frac{d u _{t}}{d t} = F (u_{t}) ζ_{t}, u (0) = u_{0} \in R^{d},$ where $F : R^{d} \to L (R^{d}, R^{d})$ is a suffici…

math.AP2026

A Global Wavefront Set Condition for Defining Bony's Paraproduct Decomposition

Josh Mott, Tim Van Hoose

We establish a natural generalization of the Hörmander condition for the multiplication of Besov distributions using the global wavefront set framework of Coriasco, Johansson, and…

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…

math.AP2022

Averaging for the dispersion-managed NLS

Luccas Campos, Jason Murphy, Tim Van Hoose

We establish global-in-time averaging for the $L^{2}$ -critical dispersion-managed nonlinear Schrödinger equation in the fast dispersion management regime. In particular, in the case…

math.AP2021★ 1 cited

Well-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation

Jason Murphy, Tim Van Hoose

We consider the nonlinear Schrödinger equation with periodic dispersion management. We first establish global-in-time Strichartz estimates for the underlying linear equation with s…

math.AP2021

Modified scattering for a dispersion-managed nonlinear Schrödinger equation

Jason Murphy, Tim Van Hoose

We prove sharp $L^{\infty}$ decay and modified scattering for a one-dimensional dispersion-managed cubic nonlinear Schrödinger equation with small initial data chosen from a weighted…