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arXiv · 1911.01982

Local and global well-posedness of 2d periodic multiplicative stochastic NLS

Immanuel Zachhuber
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Abstract

We use Strichartz estimates with rough potentials like the spatial white noise on the 2 \ dimensional torus to prove global well-posedness of the multiplicative stochastic NLS with general integer powers in both the energy and strong regime together with controls over the growth of the norms of the solutions.

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Immanuel Zachhuber. 2019-11-05. Local and global well-posedness of 2d periodic multiplicative stochastic NLS. https://arxiv.org/abs/1911.01982

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