Local and global well-posedness of 2d periodic multiplicative stochastic NLS
Immanuel Zachhuber
Published: 2019/11/5
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.