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.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…