Martin Spitz

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20182022

most citedAlmost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data

2 citations · 3 across the 8 of their papers we have counts for

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Showing 2021Show all

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math.AP2021★ 2 cited

Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data

Martin Spitz

We study the cubic defocusing nonlinear Schrödinger equation on $R^{4}$ with supercritical initial data. For randomized initial data in $H^{s} (R^{4})$ , we prove almost…

math.AP2021

Local well-posedness of a system describing laser-plasma interactions

Sebastian Herr, Isao Kato, Shinya Kinoshita +1

A degenerate Zakharov system arises as a model for the description of laser-plasma interactions. It is a coupled system of a Schrödinger and a wave equation with a non-dispersive d…