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arXiv 2010-10-19 0 views

1D quintic nonlinear Schrödinger equation with white noise dispersion

Debussche, Arnaud · Tsutsumi, Yoshio

Original · EN

In this article, we improve the Strichartz estimates obtained in [12] for the Schrödinger equation with white noise dispersion in one dimension. This allows us to prove global well posedness when a quintic critical nonlinearity is added to the equation. We finally show that the white noise dispersion is the limit of smooth random dispersion.

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