Tim Van Hoose

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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

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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…