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Strichartz estimates and low-regularity solutions to multiplicative stochastic NLS (1911.01982v6)
Published 5 Nov 2019 in math.AP and math.PR
Abstract: We study Strichartz estimates with very rough potentials, the spatial white noise on the 2 dimensional torus being of particular interest. Applications include solving the multiplicative stochastic NLS with general integer powers in a low-regularity setting, moreover we obtain global well-posedness in both the energy and strong regime.
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