most citedPathological set of initial data for scaling-supercritical nonlinear Schrödinger equations

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.AP2022

Refined probabilistic local well-posedness for a cubic Schrödinger half-wave equation

Nicolas Camps, Louise Gassot, Slim Ibrahim

We obtain probabilistic local well-posedness in quasilinear regimes for the Schrödinger half-wave equation with a cubic nonlinearity. We need to use a refined ansatz because of the…

math.AP2022★ 1 cited

Pathological set of initial data for scaling-supercritical nonlinear Schrödinger equations

Nicolas Camps, Louise Gassot

The purpose of this work is to evidence a pathological set of initial data for which the regularized solutions by convolution experience a norm-inflation mechanism, in arbitrarily…