1D quintic nonlinear Schrödinger equation with white noise dispersion

Details 1D quintic nonlinear Schrödinger equation with white noise dispersion 1D quintic nonlinear Schrödinger equation with white noise dispersion

2010-10-19

arxiv.org/abs/1010.4011v1

Mathematics

Analysis of PDEs

Scientific paper

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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