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

2019/11/05 by Immanuel Zachhuber, Zachhuber, Immanuel · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Navier-Stokes equation solutions #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1911.01982

openalex publication_date 2019/11/05 · openalex created_date 2019/11/22 · openalex updated_date 2026/07/28

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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• On domains of elliptic operators with distributional coefficients

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