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1D quintic nonlinear Schr\"odinger equation with white noise dispersion

Authors
  • Debussche, Arnaud
  • Tsutsumi, Yoshio
Type
Preprint
Publication Date
Oct 19, 2010
Submission Date
Oct 19, 2010
Identifiers
arXiv ID: 1010.4011
Source
arXiv
License
Yellow
External links

Abstract

In this article, we improve the Strichartz estimates obtained in [12] for the Schr\"odinger 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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